Laplace Transform for the Solution of First Kind Linear Volterra Integral Equation

Abstract

In recent years, integral transforms have become an essential working tool of every applied scientist and engineers. Integral transforms have been used in obtaining the solution to problems governed by ordinary and partial differential equations and special types of integral equations. The basic aim of the integral transforms is to transform a given problem into one that is easier to solve. The most common use of integral transforms is finding the solution of initial value problems. However, there are many other situations for which the integral transforms are also useful, such as in the evaluation of certain integrals and in the solution of certain differential equations, partial differential equations and integral equations. In this paper, Laplace transform for the solution of first kind linear Volterra integral equation is presented and in application section of this paper, some numerical applications are given to demonstrate the effectiveness of proposed scheme.

How to cite this article:
Aggarwal S, Sharma N. Laplace Transform for the Solution of First Kind Linear Volterra Integral Equation. J Adv Res Appl Math Stat 2019; 4(3&4): 16-23.