Laplace Transform for Convolution Type Linear Volterra Integral Equation of Second Kind

Authors

  • Raman Chauhan Assistant Professor, Department of Mathematics, Noida Institute of Engineering & Technology, Greater Noida, U.P., India.
  • Sudhanshu Aggarwal Assistant Professor, Department of Mathematics, National P.G. College Barhalganj, Gorakhpur, U.P., India.

Keywords:

Laplace Transform, Volterra Integral Equation, Inverse Laplace Transform, Convolution Theorem

Abstract

Volterra integral equations appear when we convert initial value problem to an integral equation. The solution of Volterra integral equation is much easier than the original initial value problem. Many problems of science and engineering like neutron diffusion problem, heat transfer problem, radiation transfer problem, electric circuit problem etc can be represent mathematically in terms of Volterra integral equation. In the present paper, authors discussed Laplace transform for convolution type linear Volterra integral equation of second kind. In application section, some applications are given to explain the usefulness of Laplace transform for finding the solution of convolution type linear Volterra integral equation of second kind.

How to cite this article:
Chauhan R, Aggarwal S. Laplace Transform
for Convolution Type Linear Volterra Integral
Equation of Second Kind. J Adv Res Appl Math
Stat 2019; 4(3&4): 1-7.

Published

2019-11-24

Issue

Vol. 4 No. 3&4 (2019): Journal of Advanced Research in Applied Mathematics and Statistics

Section

Research Article