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• Open Access   Article

  Analysis of Average Rainfall Super Cyclone by using Double Integration Technique

  A. Tiwari, Y. K. Rajoria, R. Boadh, R. Singh

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.82-85, Apr-2020

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  Abstract
  Cyclones are highly calamitous weather phenomena initiating harm to the life and physical organization in tropical seafaring countries. Cyclones form over whole-hearted tropical oceans and change to the land under the act of routing forces. India`s eastern coastline is one of the most violent wind inclined regions on the planet. Despite the fact that the coastline of Orisha has been just about 17% of the Indian eastern coastline, yet Orisha has been influenced by about 35% of all cyclonic and serious cyclonic tempests that have crossed the eastern coastline and related tempest floods that have been regularly immersing huge areas along the coasts. A Cyclone is an enormous scale air mass that turns around a solid focal point of low climatic weight caused due to low atmospheric pressure over oceans resulting in rainfall in the coastal regions. The results of this study indicate that the double integration technique has good potential for calculating the average rainfall during the super cyclone.

  Key-Words / Index Term
  Tempests, Tropical Cyclone, Super Cyclone, Rainfall, Double IntegrationTechinque

  References
  [1] Haggag, M., Yamashita, T., “Environmental simulator application to the analysis of the tropical cyclone Gonu in 2007,” JI of Int. Development and Cooperation, Vol. 15, No. 1-2, pp. 47-53, 2009.
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  [5] Osuri, K.K, Mohanty U.C, Routray, A. and Mohapatra, M., “The impact of satellite-derived wind data assimilation on track, intensity and structure of tropical cyclones over the North Indian Ocean,” International Journal of Remote Sensing, Vol. 33, No. 5, pp. 1627-1652, 2012.
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  [7] Devi, M., Kalita, S., Das, S., Goswami, H., Barbara, A., “Model prediction of cyclonic tracks over Bay of Bengal and resultant precipitation in the north-east region,” Geomatics Natural Hazard and Risk, Vol. 5, No.2, pp. 93-114, 2014.
  [8] Chan, S.T., Fong, C.H., Chan, M.Y., “An Analog Forecast System for Precipitation Forecasting,” 28th Guangdong-Hong Kong-Macao Seminar on Meteorological Science and Technology, Hong Kong, pp. 13-15, 2014.
  [9] Jiang, H. Y., Zipser, E., “Contribution of Tropical Cyclones to the Global Precipitation from Eight Seasons of TRMM Data: Regional, Seasonal, and Interannual Variations,” Journal of Climate, Vol. 23, No. 6, pp. 1526-1543, 2010.
  [10] Mohapatra, M, Nayak, D.P, Sharma, M, Sharma, R.P., Bandyopadhyay, B.K., “Evaluation of official tropical cyclone landfall forecast issued by India Meteorological Department,” Journal of Earth System Science, Vol. 124, No. 4, pp. 861–874, 2015.
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  [12] Kumar, S., Rama, P. J., shri, T., “Tropical cyclone Phailin Track Simulation using the advanced mesoscale Weather Research and Forecasting (WRF) model,” Int. J. Adv. Eng. and Res. Dev., Vol. 5, No. 3, pp. 404-409, 2018.
  [13] Leahy, T.P., “Poisson Regression Model of the Annual Frequency of Tropical Cyclone Genesis in the Western North Pacific,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol. 7, No. 1, pp.26-32, 2020.
  [14] Kalsi, S. R., “Orissa super cyclone – A Synopsis,” MAUSAM, Vol. 57, No. 1, pp. 1-20, 2006.
  

  Citation
  A. Tiwari, Y. K. Rajoria, R. Boadh, R. Singh, "Analysis of Average Rainfall Super Cyclone by using Double Integration Technique," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.82-85, 2020

• Open Access   Article

  Unsteady MHD free convection flow between two heated vertical parallel plates in the presence of a uniform magnetic field

  Amarjyoti Goswami, Mrinmoy Goswami, Krishna Gopal Singha

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.86-94, Apr-2020

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  Abstract
  The problem of unsteady viscous incompressible MHD free convection flow of an electrically conducting fluid between two heated vertical parallel plates in the presence of a uniform magnetic field applied transversely to the flow is considered. The induce field along the lines of motion varies transversely to the flow and the fluid temperature changing with time. An analytical solution for velocity, induced field and the temperature distributions are obtained for small and large Magnetic Reynolds numbers. The skin-friction at the two plates is obtained. Velocity distribution, induced field and skin-friction are plotted graphically against the distance from the plates. It has been observed that with the increase in the Magnetic Reynolds number, at constant Hartmann number, leads to an increase in the skin-friction gradually. But with the increase in Hartmann number, at constant Magnetic Reynolds number, the skin-friction decreases.

  Key-Words / Index Term
  Fully developed flow; Conducting fluid; induced field; Skin-friction; Magnetic Reynolds number

  References
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  [7] Das, K. and Saynal, D.C.,"laminar Conv. flow of cond. fluid between vert. plates", J. Ass. Sci. Soc., 1995.
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  [9] Gourla, M.G.and Katoch, S.L., “Unsteady free convection MHD flow between heated vertical plates”, Ganita, Vol.42, No.2,pp. 143-153, (1991.
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  [11] Ostrach, S.Grenzschi-Chtfurschung (Ed.-II, Gortler), 1958.
  [12] Grief, R and Habib, I.S.and Lin, J.C., “Laminar convection of a radiating gas in a vertical channel”, J, Fluid Mech, Vol. 46, pp. 513-520, 1971.
  [13] Gupta et. al., Bull. Cal. Math. Soc.,Vol. 61, pp.29, 1969.
  [14] Soundalgekar, V. M. and Ramana Murty, T.V., “Heat transfer in MHD flow with pressure gradient, suction and injection”, J. Engg.Math., Vol.14, No.2, pp.155-159, 1980.
  [15] Soundalgekar, V. M. and Bhatt. J.P., Bull. Cal. Math. Soc., Vol. 61, pp. 93, 1990.
  [16] Kim, Y.J., “Unsteady MHD convection flow of polar fluids past a vertical moving porous plate in a porous medium”, Int. J. Heat and Mass Transfer, Vol. 44 No. 15, pp. 2791-2799, 2001.
  [17] Chen, C.H., “Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation”, Int. J. Engg. Sci. , Vol. 42, No. 7, pp. 699-713, 2004.
  [18] Dahake S.P. and Dubewar A.V., “Effects of Radiation on Magnetohydrodynamic Convection Flow past an Impulsively Started Vertical Plate Submersed in a Porous Medium with Suction”, International Journal of Computer Sciences and Engineering, Vo. 5, Issue-2, pp 1-7, 2017.
  [19] Mrinmoy Goswami, Krishna Gopal Singha, Amarjyoti Goswami and P N Deka, “A study of unsteady MHD vertical flow of an incompressible viscous electrically conducting fluid bound by two non-conducting plates in the presence of uniform inclined magnetic field”, Proceedings of World Congress on Engineering, 2018,Vol I ,London UK.
  [20] Aruna Sharma, A.V .Dubewar, “MHD Flow between Two Parallel Plates under the Influence of Inclined Magnetic Field by Finite Difference Method”, International Journal of Innovative Technology and Exploring Engineering (IJITEE) ISSN: 2278-3075, Vol. 8 Issue-12, October 2019.
  

  Citation
  Amarjyoti Goswami, Mrinmoy Goswami, Krishna Gopal Singha, "Unsteady MHD free convection flow between two heated vertical parallel plates in the presence of a uniform magnetic field," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.86-94, 2020

• Open Access   Article

  Transmuted Zeghdoudi Distribution: Theory and Applications

  Molay Kumar Ruidas

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.95-101, Apr-2020

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  Abstract
  The Transmuted Zeghdoudi distribution(TZD) is derived using the Quadratic Rank Transmutation Map (QRTM) approach. Some mathematical properties of the proposed distribution are derived such as moments, skewness, kurtosis, mean residual lifetime, hazard rate, order statistics and reliability analysis etc. Estimation Properties like maximum likelihood estimation procedure is derived to obtain the estimates of parameters. A data set are analyzed to illustrate its applicability and to compare that this distribution performs better than many other distributions.

  Key-Words / Index Term
  Zeghdoudi Distribution, Quadratic Rank Transmutation Map, Moment Generating Function, Order Statistics, Maximum Likelihood Estimation

  References
  [1] Alfred Akinsete, Felix Famoye, and Carl Lee. “The beta-pareto distribution”. Statistics, 42(6):547–563, 2008.
  [2] Mohamed E Ghitany, Barbra Atieh, and Saralees Nadarajah. “Lindley distribution and its application”. Mathematics and computers in simulation, 78(4):493–506, 2008.
  [3] Tomasz J Kozubowski and Saralees Nadarajah. “The beta-laplace distribution”. Journal of Computational Analysis & Applications, 10(1), 2008.
  [4] Subhradev Sen, Sudhansu S Maiti, and N Chandra. “The xgamma distribution: statistical properties and application”. Journal of Modern Applied Statistical Methods, 15(1):38, 2016.
  [5] Muhammad H Tahir, Gauss M Cordeiro, Ayman Alzaatreh, Muhammad Mansoor, and Muhammad Zubair. “A new weibull–pareto distribution: properties and applications”. Communications in Statistics-Simulation and Computation, 45(10):3548–3567, 2016.
  [6] Luz M Zea, Rodrigo B Silva, Marcelo Bourguignon, Andrea M Santos, and Gauss M Cordeiro. “The beta exponentiated pareto distribution with application to bladder cancer susceptibility”. International Journal of Statistics and Probability, 1(2):8, 2012.
  [7] CC Odom, EC Nduka, and MA Ijomah. “A modification of pranav distribution using quadratic rank transmutation map approach”. Int. J. Sci. Res. in Mathematical and Statistical Sciences Vol, 6:2, 2019.
  [8] Faton Merovci. “Transmuted lindley distribution”. International Journal of Open Problems in Computer Science and Mathematics, 238(1393):1–20, 2013.
  [9] Halim Zeghdoudi and Sihem Nedjar. “Gamma lindley distribution and its application”. Journal of Applied Probability and Statistics, 11(1):129–138, 2016.
  [10] Hamouda Messaadia and Halim Zeghdoudi. “Zeghdoudi distribution and its applications”. International Journal of Computing Science and Mathematics, 9(1):58–65, 2018.
  [11] William T Shaw and Ian RC Buckley. “The alchemy of probability distributions: beyond gram-charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map”. arXiv preprint arXiv:0901.0434, 2009.
  [12] AP Prudnikov, Yu A Brychkov, and OI Marichev. “ Integrals and series” [in russian], vol. 1. Elementary Functions: Complementary Chapters, 1, 1981.
  [13]Gagan Gurung, Rahul Shah, Dhiraj Prasad Jaiswal, "Emerging Trends in Data Mining- An Algorithms used, Challenges and its Significance in Current Scenario," International Journal of Computer Sciences and Engineering, Vol.8, Issue.3, pp.78-82, 2020.
  [14]Logunleko K.B., Logunleko A.M., Odufowora M.O., Gbolagade, K.A., "A Differential Computational Encryption Modeling Technique on Textual Data," International Journal of Scientific Research in Computer Science and Engineering, Vol.8, Issue.1, pp.81-86, 2020
  

  Citation
  Molay Kumar Ruidas, "Transmuted Zeghdoudi Distribution: Theory and Applications," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.95-101, 2020

• Open Access   Article

  A Study of Balking in Stages of Vacation in a Queuing System

  S. Maragathasundari, R. Geetha, S. Kishore Eswar

  Review Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.102-106, Apr-2020

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  Abstract
  In this article, we study the bunch lining model, where single server is used to offer the administration. Appearance follows a Poisson flow process with rate λ > 0 and organization time for the most part is passed on. It is acknowledged that customers appear at the structure in bunches of variable size, anyway served independently. After fulfillment of administration, customer leaves the structure. The server goes for a required get-away, which is done in two stages. While the second period of outing is keeping, Balking occurs, for instance observing the long queue; customers keep joining the line from making sure about the structure For this covering model, all the introduction measures are derived and the model is all around explained in detail with a certified application, numerical diagram and graphical delineation.

  Key-Words / Index Term
  Balking, compulsory, Supplementary variable technique, Vacation

  References
  [1]. Ebrahim Malalla and Madan .K.C, “ On a batch arrival queue with second "optional service, random breakdowns, delay time for repairs to start and restricted availability of arrival during breakdowns”, J. Math computer Science, Vol. 7, N0. 1, pp.175-188, 2017.
  [2]. Madan .K.C and Chodhury .G, “An M[x] /G/1 queue with Bernoulli vacation schedule under restricted admissibility policy”, Sankhaya, Vol. 66, pp.172-193,2004.
  [3]. Madhu Jain, Sharma .M, Sharma .G.C and Richa Sharma, “A batch arrival queuing system for essential and optional services with server breakdown and Bernoulli vacation”, Int. J. internet and Enterprise Management, Vol. 8, No. 1, pp.16-45, 2012.
  [4]. Maragathasundari .S and Karthikeyan .K, “ Batch arrival of two stages with stand by server during general vacation time & general repair time”, International Journal of Mathematical Archive, Vol. 6, No. 4, pp.43-48, 2015.
  [5]. Maragathasundari .S, Srinivasan .S and Ranjitham .A, “ Batch arrival queuing system with two stages of service”, Int. Journal of Math. Analysis, Vol. 8, No. 6, 247-258, 2014.
  [6]. Maragathasundari .S, Srinivasan .S and Ranjitham .A, “Analysis of batch arrival queue with two stages of service and phase vacations”, Missouri Journal of Mathematical Sciences, Vol. 26, pp. 189-205, 2014.
  [7]. Maragathasundari .S, Vigneshperumal, Srinivasan .S, “Analysis of Non-Markovian single server batch arrival queuing system of compulsory three stages of services with fourth optional stage service, service interruptions and deterministic server vacations”, International Journal of Operational Research, Vol. 34(1) pp. 28-53, 2019.
  [8]. Rehab Khalaf .F, Madan .K.C and Cormac Lukas .A “ An M[x] /G/1 queue with Bernoulli schedule general vacation times, random breakdowns, general delay times general repair times, Applied Mathematical Sciences, Vol. 5, No. 1, pp.35-51, 2011.
  [9]. Sushil Ghimire, Ramprasad Ghimire, Gyan Bahadur Thapa and Sara Femandes, “ Multi service batch service queuing model with variable service rates”, International Academy of Science, Engineering and Technology,Vol. 6, pp.43-54, 2017.
  

  Citation
  S. Maragathasundari, R. Geetha, S. Kishore Eswar, "A Study of Balking in Stages of Vacation in a Queuing System," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.102-106, 2020

• Open Access   Article

  Mathematical Model for Co-infection of HPV with Cervical Cancer and HIV with AIDS Diseases

  E.D. Gurmu, B.K. Bole, P.R. Koya

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.107-121, Apr-2020

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  Abstract
  In this paper a deterministic mathematical model for co-infection of HPV with Cervical Cancer and HIV/AIDS diseases has been formulated and rigorously analyzed. Both local and global stability of the disease free equilibrium and endemic of the model was established using basic reproduction number. The results show that in HPV only model, HIV only model and HPV-HIV co-infection model if the basic reproduction is less than one then the solution converges to the disease free steady state and the disease free equilibrium is locally asymptotically stable. The endemic states are considered to exist when the basic reproduction number for each disease is greater than one. Sensitivity analysis of the model was performed on the key parameters to find out their relative significance and potential impact on the transmission dynamics of HPV and HIV separately. Numerical simulations indicate the effect of varying the contact rate parameters on single disease and the co-infection dynamics. As we increase contact rates, the infections increases.

  Key-Words / Index Term
  Co-infection, HPV, HIV/AIDS, Cervical Cancer, Stability Analysis, Sensitivity

  References
  [1] Eshetu Dadi Gurmu, Purnachandra Rao Koya, “Sensitivity Analysis and Modeling the Impact of Screening on the Transmission Dynamics of Human Papilloma Virus (HPV)”, American Journal of Applied Mathematics. 7(3), 70-79, (2019).
  [2] A.S. Bergot, A. Kassianos, I.A. Frazer, D Mittal,“New Approaches to immunotherapy for HPV associated cancers”, OPEN ACESS, Cancers, 346-3495, (2011). .
  [3] D.R. Lowy and J.T, “Schiller Prophylactic human papillomavirus vaccines”. J C Invest. 116(5), 1167-1173,(2006)..
  [4] WHO list of priority medical devices for cancer management Geneva: World Health Organization. Licence: CC BY-NC-SA 3.0 IGO, (2017).
  [5] Wodarz, D,”Killer Cell Dynamics”, Mathematical and Computational Approaches to Immunology. Springer Verlag, New York, (2007).
  [6] N. Rom, S. B. Markowitz, “Environmental and Occupational Medicine”, (2007).
  [7] UNAIDSDATA, (2019).
  [8] M. M. Polaczek, J. Zych, K. Oniszh, J. Szopin´ski, J. Grudny, and K. Roszkowski-Sliz, “Pneumocystis´ pneumonia in hiv-infected patients with cytomegalovirus co-infection. Two case reports and a literature review”, Advances in Respiratory Medicine, 82(5):458–466, (2014),.
  [9] Kalipeni, S. Craddock, J. R. Oppong, and J. Ghosh, “HIV and AIDS in Africa: beyond epidemiology”, (2004).
  [10] R. Aris, “Mathematical modelling techniques,” Courier Corporation, (2012)..
  [11] R. V. Culshaw and S. Ruan, “A delay-differential equation model of hiv infection of cd4+ t-cells” Mathematical biosciences. 165(1):27–39, (2000).
  [12] Udoy S. Basak, Jannatun Nayeem, Chandra N, “Podder Mathematical study of HIV and HSV-II co-infec tion”. American Journal of Mathematics and Statistics, 5(1), 15-23, (2011).
  [13] A. Nwankwo1, D. Okuonghae1, “Mathematical Analysis of the Transmission Dynamics of HIV Syphilis Co-infection in the Presence of Treatment for Syphilis”, Bull Math Biol, (2017)..
  [14] O. Okosun and R. Smith, “Optimal control analysis of malaria-schistosomiasis co-infection dynamics”, Mathematical biosciences and engineering: MBE, 14(2):377–405, (2017).
  [15] G. G. Sanga, O. D. Makinde, E.S. Massawe and L. Namkinga, “Modelling Co-dynamics of Cervical Cancer and HIV Disease”, Glob.J.Appl.Math. , 13(6), 2057-2078, (2017).
  [16] P.V.D.Driessche, J.Watmough, “Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission”, Math. Biosci, 180,29–48, (2002).
  [17] C. Castillo-Chavez, B. Song, “Dynamical models of tuberculosis and their applications”, Math. Biosci. Eng, 1 (2), 361–404, (2004).
  [18] Eshetu Dadi Gurmu and Purnachandra Rao Koya, “Impact of Chemotherapy treatment of SITR Compartmentalization and Modeling of Human Papilloma Virus (HPV)”, IOSR Journal of Mathematics (IOSR – JM), 15(3), 17 – 29, (2019).
  [19] Chitnis, N., Hyman, J.M., and Cusching, J. M., ”Determining important Parameters in the spread of malaria through the sensitivity analysis of a mathematical Model”, Bulletin of Mathematical Biology, 70 (5), 1272–12, (2008).
  

  Citation
  E.D. Gurmu, B.K. Bole, P.R. Koya, "Mathematical Model for Co-infection of HPV with Cervical Cancer and HIV with AIDS Diseases," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.107-121, 2020

• Open Access   Article

  Unification and Application of Certain Hypergeometric Polynomials of Three Variables

  R.K. Singh, B.K. Singh

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.122-131, Apr-2020

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  Abstract
  In the present paper, a generalized hypergeometric polynomial set Rn(x1,x2,x3) has been defined by means of a generating relation which contains Appell`s functions of three variables in the notation of Burchnall and Chaundy associated with Lauricella function. The polynomial set covers as many as forty orthogonal and non-orthogonal polynomials and have been obtained with special cases such as Hermite, Laguerre, Bateman etc. These polynomials are of at most important for mathematicians, scientists and engineers. The theory of special function has been developed enormously during the last two hundred years. The polynomials and their orthogonal properties are of great importance in mathematical analysis, including differential equation, integral equation, mathematical physics etc. Many orthogonal polynomials have their applications in quantum mechanics, chemical kinetics, electromagnetic theory etc.

  Key-Words / Index Term
  Appell Function, Generalized Hypergeometric Polynomial, Integral Representation, Lauricella function, Orthogonal Polynomial, Generating Relation

  References
  [1.] J.L. Burchnall, T. W. Chaundy, “Expansions of Appell’s double hypergeometric functions-II,” Quarterly J. Math., Oxford, 12,pp.12-128,1941.
  [2.] P.N. Srivastava, “Classical polynomiuls-A unified presentation” pub. Inst. Math. (Beograd) (N.S.) tome 23(37),pp.167-177, 1978.
  [3.] K. N. Srivastava, “Some polynomials related to the Laguerre polynomials.” J. Indian Math. Soc. ,Vol. 28,(2),pp.43-50, 1964.
  [4.] E.D. Rainville, “Special Functions,” Macmillan Co., New York,pp.245(12),1960.
  [5.] P. Humbert, “Some extensions of Pincherle`s polynomials.” Proceedings of the Edinburgh Mathematical Society, 39, pp.21-24, 1920.
  [6.] H. W. Gould, and A. T. Hopper, “Operational formulas connected with two generalizations of Hermite polynomials,” Duck Math. J., 29, 51-63, 1962.
  [7.] L. R. Bragg, “Product of Certain generalized Hermite polynomials,” Associated relations, Boll, Un. Mat. Ital (4) 1,pp.347-355,1968.
  [8.] R. P. Gupta, and G. C. Jain. ,"A generalized Hermite distribution and its properties.” SIAM J. Appl. Math. 27, pp.359-363,1974.
  [9.] M. Lahiri, (1966)—Thesis on “A generalization of Hermite polynomials”. B. H. U., India.
  [10.] N. Abdul-Halim, and W. A. Al-Salam, "A characterization of the Laguerre Polynomials,” Rendiconti del Seminario Matematico della Università di Padova, tome 34, pp. 176-179,1964.
  [11.] R. Panda, “Thesis on “A generalized polynomial An (x)” Banaras Hindu University,1967.
  [12.] F. Brafman, “Some generating functions for Laguerre and Hermite polynomials.” Canad. J. Math., 9, 180-187, 1957.
  [13.] I. K. Khanna, Ph.D. thesis on “Unification of cirtain classical polynomials.” Banaras Hindu University (U.P.), 1968.
  [14.] M. L. Shah, “On some results involving generalized hypergeometric polynomials,” Jour, of india Math. Soc. (N.S.) 34, 89-97, 1970.
  [15.] A. Erdelyi, “Higher transcendental functions,” Bateman manuscript project colifornia Institute of Technology.Vol.3,pp.246,1953
  

  Citation
  R.K. Singh, B.K. Singh, "Unification and Application of Certain Hypergeometric Polynomials of Three Variables," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.122-131, 2020

• Open Access   Article

  Static Response and Structural Optimization of Railway Sleepers by Replacing Fine Aggregate with Waste Materials

  Priyanka.K, Lavanya.G

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.132-138, Apr-2020

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  Abstract
  In current situation, Railways are most important and dependable transport for goods transportation. There are different structural components for load transport mechanism in railway system. In this mechanism sleeper plays an important role for load transportation. In past years wooden sleepers are used and then wooden sleepers replaced by alternative concrete sleeper to void deformation. This present study aims to replacing the concrete materials with suitable waste materials which are locally available. Those waste materials are partially replaced with fine aggregate. Cubes, cylinders were tested and corresponding mix proportion used as optimum percentage. While it give higher strength than nominal mix. Then the nominal mix and optimum mix properties are compared and applied to the ANSYS work bench. The ANSYS models were created for standard sleeper and Modified Y shaped sleepers. The deformational characters and stress characters were found by using ANSYS software analysis. The characters of optimum mix and various replaced mixes were compared and choose best mix ratio.

  Key-Words / Index Term
  sleeper, ANSYS, y-shaped sleeper, modified sleeper, static analysis.

  References
  [1] Priyanka, K., Dr. G. Lavanya and Mrs. P. Akila. “A Review: Structural Optimization of Railway Sleepers by Replacing Fine Aggregate with Waste Materials,” International journal of innovative research in technology, vol.6, issue.5, pp.98-104, 2019.
  [2] Veerareddy.M “use of ceramic waste as fine aggregate in concrete”, International Journal Of Technical Innovation In Modern Engineerin, vol.5, issue.6, pp.1-3, 2019.
  [3] Amaziah Walter Otunyo , Uwakwe Paul Arinze ‘Effect of Crushed Waste Ceramic Tiles (CWCT) as Partial Replacement for Fine Aggregate in Concrete’, American Journal of Civil Engineering and Architecture, Vol.6, issue.3, pp.129-132, 2018.
  [4] P.Ramanaidu, P.Murahari Krishna, “rtial Replacement of Aggregates with Ceramic Tiles andRebutted Tyre Waste in Concrete”, international journalof engineering trends and applications, vol.5, issue.3, pp. 71-88, 2018.
  [5] DumpatiMamatha, T Ajay ,Kiran H P. ‘An experimental investigation on partial replacement of cement with GGBS and fly-ash in rigid pavements’, International Research Journal of Engineering and Technology,. vol.5, issue.4, pp.3452-3456, 2018.
  [6] SanbirManhas and Amir Moohmend. ‘A research – vaguely replacement of fine aggregate with ggbs in concrete’, International Journal of Civil Engineering and Technology, Vol.9, issue.3, pp.65-70, 2018.
  [7] R.Anusuya, D.Chandraleka, S.Sarumathi, G.Karthikeyan, ‘Experimental Study on Concrete by Replacement of Fine Aggregate with Copper Slag, GGBS and M- Sand’, ‘International Journal of Innovative Science and Research Technology’. Vol.3,issue.3, pp.418-422, 2018.
  [8] Desalew Fisseha, Mequanent Mulugeta, Esayas Gebreyouhannes, “optimal design and analysis of pre-stressed concrete sleepers”. Journal of EEA , vol.34, pp.1-17, 2018.
  

  Citation
  Priyanka.K, Lavanya.G, "Static Response and Structural Optimization of Railway Sleepers by Replacing Fine Aggregate with Waste Materials," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.132-138, 2020

• Open Access   Article

  Putting Forward a Novel Integral Transform: Dinesh Verma Transform (DVT) and Its Applications

  Dinesh Verma

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.139-145, Apr-2020

  Abstract

  Full-Text HTML

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  Citation

  Abstract
  In this paper, a novel integral transform named Dinesh Verma Transform (DVT) is proposed. The operational properties of Dinesh Verma transform (DVT) are discussed and obtained the Dinesh Verma transform (DVT) of elementary functions, and some of the derivatives of a function. The boundary value problems described by linear ordinary differential equations in Science and Engineering are analyzed by Dinesh Verma transform (DVT). It is revealed that the linear ordinary differential equations in Science and Engineering are easily analyzed by Dinesh Verma transform (DVT).

  Key-Words / Index Term
  Dinesh Verma transform (DVT), Linear Ordinary Differential equations

  References
  [1] H.K. Dass, Introduction to Engineering Mathematics.
  [2] Murray R. Spiegel, Theory and Problems of Laplace Transforms, Schaum`s outline series, McGraw - Hill
  [3] Tarig M. Elzaki, Salih M. Elzaki and Elsayed Elnour, On the new integral transform Elzaki transform fundamental properties investigations and applications, global journal of mathematical sciences: Theory and Practical, volume 4, number 1(2012).
  [4] Sadikali Latif Shaikh, Introducing a new integral transform: Sadik Transform, American International Journal of Research in Science, Technology, Engineering & Mathematics, 22(1), March-May 2018, pp.100-102.
  [5] Abdelilah Kamal, H. Sedeeg, The New Integral Transform ``Kamal Transform``, Advances in Theoretical and Applied Mathematics ISSN 0973-4554 Volume 11, Number 4 (2016), pp. 451-458.
  [6] Khalid Suliman Aboodh, The New Integral Transform ``Aboodh Transform``, Global Journal of Pure and Applied Mathematics, ISSN 0973-1768 Volume 9, Number 1 (2013), pp. 35-43.
  [7] Mohand M. Abdelrahim Mahgoub, The New Integral Transform ``Mohand Transform”, Advances in Theoretical and Applied Mathematics, ISSN 0973-4554, Volume 12, Number 2 (2017), pp. 113-120.
  [8] Mahgoub, M.A.M., The new integral transform “Mahgoub Transform”, Advances in Theoretical and Applied Mathematics, 11(4), 391-398, 2016.
  [9] Mr. Kharde Uttam Dattu, New Integral Transform: Fundamental Properties, Investigations and Applications, IAETSD Journal for Advanced Research in Applied Sciences, volume 5, issue 4, April 2018.
  [10] Rahul Gupta, Rohit Gupta, Dinesh Verma, Propounding a New Integral Transform: Gupta Transform with Applications in Science and Engineering, International Journal of Scientific Research in Multidisciplinary Studies, volume 6, issue 3, pp. 14-19, March (2020).
  [11] Rohit Gupta, Amit Pal Singh, Dinesh Verma, Flow of Heat Through A Plane Wall, And Through A Finite Fin Insulated At The Tip, International Journal Of Scientific & Technology Research, Volume 8, Issue 10, October 2019.
  [12] Rahul gupta and Rohit gupta, “Laplace Transform method for obtaining the temperature distribution and the heat flow along a uniform conducting rod connected between two thermal reservoirs maintained at different temperatures”, Pramana Research Journal, Volume 8, Issue 9, 2018, pp. 47-54.
  [13] P. Senthil Kumar, A. Viswanathan, Applications of Mahgoub Transform to Mechanics, Electrical Circuit Problems, International Journal of Science and Research (IJSR), Volume 7 Issue 7, July 2018.
  [14] P. Senthil Kumar, S. Vasuki, Applications of Aboodh Transform to Mechanics, Electrical Circuit Problems, International Journal for Research in Engineering Application & Management (IJREAM), Vol-04, Issue-06, Sep 2018.
  [15] Rohit Gupta, Loveneesh Talwar, Rahul Gupta, Analysis of Ɍ-Ł-Ϲ network circuit with steady voltage source, and with steady current source via convolution method, International journal of scientific & technology research, volume 8 Issue 11, November 2019.
  [16] Rohit Gupta, Rahul Gupta, Sonica Rajput, Convolution Method for the Complete Response of a Series Ł-Ɍ Network Connected to an Excitation Source of Sinusoidal Potential, International Journal of Research in Electronics And Computer Engineering, IJRECE Vol. 7, issue 1 (January- March 2019), pp. 658-661.
  [17] Rohit Gupta, Tarun Singhal, Dinesh Verma, Quantum mechanical reflection and transmission coefficients for a particle through a one-dimensional vertical step potential, International Journal of Innovative Technology and Exploring Engineering, Volume-8 Issue-11, September 2019.
  [18] Rohit Gupta, Rahul Gupta, Dinesh Verma, Eigen Energy Values and Eigen Functions of a Particle in an Infinite Square Well Potential by Laplace Transforms, International Journal of Innovative Technology and Exploring Engineering, Volume 8 Issue 3, January 2019.
  [19] Rohit Gupta, Anamika Singh, Rahul Gupta, Quantum Theory Of One Dimensional Free Electron Gas By Means Of Residue Theorem, Compliance Engineering Journal, Volume 10, Issue 12, 2019.
  [20] Rahul Gupta, Rohit Gupta, Dinesh Verma, Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator, International Journal of Scientific Research in Physics and Applied Sciences ,Vol.7, Issue.3, pp.173-175, June (2019).
  [21] Rohit Gupta , Rahul Gupta, Residue approach to mathematical analysis of the moving coil galvanometer, International Journal of Advanced Trends in Engineering and Technology, Volume 4, Issue 1, 2019.
  [22] Dinesh Verma, Aftab Alam, Analysis of Simultaneous Differential Equations by Elzaki Transform Approach, Journal of Science, Technology and Development, Volume IX Issue I January 2020.
  

  Citation
  Dinesh Verma, "Putting Forward a Novel Integral Transform: Dinesh Verma Transform (DVT) and Its Applications," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.139-145, 2020

• Open Access   Article

  Zeros of Analytic Functions with Restricted Coefficients

  P. Ramulu, G.L. Reddy

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.146-151, Apr-2020

  Abstract

  Full-Text HTML

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  Citation

  Abstract
  In this paper, we consider the problem of finding the number of zeros of a special class of analytic functions of polynomial functions in prescribed regions, by subjecting the certain restrictions on the real and imaginary coefficient for a certain stage by taking even and odd cases in our results. Our results generalized the earlier known results with the hypothesis about some special restriction on the real part and monotonic on imaginary parts of the polynomial coefficients and improved many theorems and corollaries. We have been working with the Eneström-Kakeya theorem hypothesis by about the number of zeros of a polynomial with restrictions. As special cases, the extended results yield much simpler expressions for the upper bounds of zeros of those existing results with the different types of restrictions on the coefficients of a polynomial and improved the many theorems and corollaries by taking analytic functions with complex coefficient.

  Key-Words / Index Term
  Zeros of polynomial, Analytic functions, Eneström-Kakeya theorem, Number of Zeros, Regions

  References
  [1]. G.Eneström, Remarquee sur un théorème relatif aux racines de l’equation a_n+...+a_0=0 oütous les coefficient sont et positifs, Tôhoku Math.J 18(1920),34-36.
  [2]. S.KAKEYA, On the limits of the roots of an alegebraic equation with positive coefficient, Tôhoku Math.J 2 (1912-1913),140-142.
  [3]. A. Aziz and Q.G. Mahammad, on the certain class of analytic class of olynomial and related analytic functions, J. Anal and Appl. 75,[1980], 495-502.
  [4]. N.K.Govil and Q.I.Rehman, On the EnstromKakeya Theorem Tohoku Math .J. 20, (1968), 126-136.
  [5]. K. K. Dewan, Extremal Properties and Coefficient Estimates for Polynomials with Restricted Zeros and on Location of Zeros of Polynomials, Ph.D Thesis, Indian Institutes of Technology, Delhi, 1980.
  [6]. P.Ramulu, G.L.Reddy, On the zeros of polynomials, Int Jr. of Mathematical Sciences & Applications, Vol. 5, No. 2, (July-December, 2015), pp-395-399.
  [7]. P. Ramulu, Some Generalization of Eneström-Kakeya Theorem: International Journal of Mathematics and Statistics Invention IJMSI), (2015), 3 (2), 52-59.
  [8]. P. Ramulu, G. L. Reddy and C.Gangadhar on the zeros of polynomials with real coefficients: International Journal of Applied Mathematical Sciences. (2015), 5 (2), 109-118.
  [9]. G.L.Reddy, and P. Ramulu On the zeros of Polynomials: International Journal Mathematical Sciences and Applications, (2015), 5 (2), 395-399.
  

  Citation
  P. Ramulu, G.L. Reddy, "Zeros of Analytic Functions with Restricted Coefficients," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.146-151, 2020

• Open Access   Article

  Observations on the Binary Quadratic Diophantine Equation x² - 2xy -y² + 2x +14y= 72

  G. Janaki and C. Saranya

  Review Paper | Journal-Paper (IJSRMSS)

  Vol.7 , Issue.2 , pp.152-155, Apr-2020

  Abstract

  Full-Text HTML

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  Citation

  Abstract
  The binary quadratic equation represents a hyperbola is analyzed for its non-zero distinct integer solutions. In this paper, we obtain a sequence of its integral solutions and present a few interesting relations among them.

  Key-Words / Index Term
  Binary quadratic equation, Integral solutions, Hyperbola, Parabola & Pell’s equation.

  References
  [1] Banumathy.T.S., (1995) A Modern Introduction to Ancient Indian Mathematics, Wiley Eastern Limited, London.
  [2] Carmichael, R.D., (1950) The Theory of Numbers and Diophantine Analysis, Dover Publications, NewYork.
  [3] Dickson. L. E., (1952) History of The Theory of Numbers, Vol.II, Chelsia Publicating Co, New York.
  [4] Gopalan,M.A., and Parvathy,G., (2010) “Integral Points On The Hyperbola x2 + 4xy + y2 - 2x -10 y + 24 = 0,”Antarctica J.Math,Vol 1(2),149-155.
  [5] Gopalan,M.A, Vidhyalakshmi,S, Sumathi.G and Lakshmi.K, Sep (2010) “”Integral Points On The Hyperbola x 2 + 6xy + y 2 + 40x + 8 y + 40 = 0 ” , Bessel J.Math. Vol 2(3),159-164.
  [6] Gopalan,M.A., Gokila,K.,and Vidhyalakshmi,S., (2007), “On the Diophantine Equation x 2 + 4xy + y 2 - 2x + 2 y - 6 = 0”, Acta Ciencia Indica, Vol.XXXIIIM No.2, pp. 567-570.
  [7] Gopalan,M.A.,Vidhyalakshmi,S.,and Devibala,S., (2007), On The Diophantine Equation 3x2+ xy = 14, Acta Ciencia Indica, Vol.XXXIII M.No.2, pp.645-646.
  [8]Gopalan.M.A., and Janaki.G., (2008), “Observations on x 2 - y 2 + x + y + xy = 2”, Impact J.Sci.,Tech, Vol.2(3), pp.143-148.
  [9]Gopalan.M.A., Shanmuganadham,P., and Vijayashankar,A., (2008), “On Binary Quadratic Equation x 2 - 5xy + y 2 + 8x - 20 y + 15 = 0 ”, Acta Ciencia Indica,Vol . XXXIVM. No.4, pp.1803-1805.
  [10]Gopalan,M.A, Vidhyalakahmi,S, Lakshmi.K and Sumathi.G, (2012) “ Observation on 3x2 +10xy + 4 y2 - 4x + 2 y - 7 = 0 ” , Diophantus J.Maths.Vol.1(2),123-125.
  [11] Vidhyalakshmi,S, Gopalan,M.A and Lakshmi.K, (2014) “ Observation On The Binary Quadratic Equation 3x2 - 8xy + 3y2 + 2x + 2 y + 6 = 0”, Scholar Journal of Physics, Mathematics and Statistics, Vol.1(2), (Sep-Nov), 41-45.
  [12] Vidhyalakshmi. S, Gopalan,M.A and Lakshmi.K, August( 2014) “Integer Solution of the Binary Quadratic Equation x2 - 5xy + y2 + 33x = 0”, International Journal of Innovative Science Engineering &Technology, Vol.1(6), 450-453.

  Citation
  G. Janaki and C. Saranya, "Observations on the Binary Quadratic Diophantine Equation x² - 2xy -y² + 2x +14y= 72," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.2, pp.152-155, 2020