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

Dinesh Verma1

  1. Department of Applied Sciences, Yogananda College of Engineering and Technology (YCET), Jammu.

Correspondence should be addressed to: drdinesh.maths@gmail.com, Tel.: +8082002045.


Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.2 , pp.139-145, Apr-2020


Online published on Apr 30, 2020


Copyright © Dinesh Verma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style 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.

MLA Style 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 7.2 (2020): 139-145.

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

BibTex Style Citation:
@article{Verma_2020,
author = {Dinesh Verma},
title = {Putting Forward a Novel Integral Transform: Dinesh Verma Transform (DVT) and Its Applications},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2020},
volume = {7},
Issue = {2},
month = {4},
year = {2020},
issn = {2347-2693},
pages = {139-145},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1843},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1843
TI - Putting Forward a Novel Integral Transform: Dinesh Verma Transform (DVT) and Its Applications
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Dinesh Verma
PY - 2020
DA - 2020/04/30
PB - IJCSE, Indore, INDIA
SP - 139-145
IS - 2
VL - 7
SN - 2347-2693
ER -

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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 :
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[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.
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[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.

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