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Laplace Transformation of Integral Equations of convolution type

Dinesh Verma1 , Rohit Gupta2

Section:Research Paper, Product Type: Journal-Paper
Vol.5 , Issue.9 , pp.94-96, Sep-2019


Online published on Sep 30, 2019


Copyright © Dinesh Verma, Rohit Gupta . 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, Rohit Gupta, “Laplace Transformation of Integral Equations of convolution type,” International Journal of Scientific Research in Multidisciplinary Studies , Vol.5, Issue.9, pp.94-96, 2019.

MLA Style Citation: Dinesh Verma, Rohit Gupta "Laplace Transformation of Integral Equations of convolution type." International Journal of Scientific Research in Multidisciplinary Studies 5.9 (2019): 94-96.

APA Style Citation: Dinesh Verma, Rohit Gupta, (2019). Laplace Transformation of Integral Equations of convolution type. International Journal of Scientific Research in Multidisciplinary Studies , 5(9), 94-96.

BibTex Style Citation:
@article{Verma_2019,
author = {Dinesh Verma, Rohit Gupta},
title = {Laplace Transformation of Integral Equations of convolution type},
journal = {International Journal of Scientific Research in Multidisciplinary Studies },
issue_date = {9 2019},
volume = {5},
Issue = {9},
month = {9},
year = {2019},
issn = {2347-2693},
pages = {94-96},
url = {https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=1489},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=1489
TI - Laplace Transformation of Integral Equations of convolution type
T2 - International Journal of Scientific Research in Multidisciplinary Studies
AU - Dinesh Verma, Rohit Gupta
PY - 2019
DA - 2019/09/30
PB - IJCSE, Indore, INDIA
SP - 94-96
IS - 9
VL - 5
SN - 2347-2693
ER -

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Abstract :
This paper presents the application of Laplace transformation method for solving integral equations of convolution type which arise in most of the scientific and engineering problems like diffraction problems, scattering in quantum mechanics, conformal mapping etc. Generally, Laplace transformation has been applied to obtain the solutions of ordinary and partial differential equations. By solving integral equations of convolution type via means of Laplace transformation method, it becomes easy to solve most of the scientific and engineering problems.

Key-Words / Index Term :
Laplace Transformation, Integral equations

References :
[1] B. V. Ramana, Higher Engineering Mathematics.
[2] Dr. B. S. Grewal, Higher EngineeringMathematics.
[3] Dr.S.K.Pundir, Engineering Mathematics with Gate tutor.
[4] Erwin Kreyszig, Advanced Engineering Mathematics, Wiley, 1998.
[5] J. L. Schiff, The Laplace Transform: Theory and Applications, Springer Science and Business Media (1999).
[6] Advanced engineering mathematics seventh edition, peter v. Oneil.
[7] Dinesh Verma and Rohit Gupta, Laplace Transformation approach to infinite series, International Journal of Advance and Innovative Research, Volume 6, Issue 2 (XXXIII): April – June, 2019.
[8] 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).

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