Solving Continuous and Weakly Singular Linear Volterra Integral Equations of the second kind by Laplace Transform Method

Abstract

This work provides solutions to some continuous and weakly singular linear Volterra integral equations of the second kind by Laplace transform method. With the basic definition of convolution integral of two functions and Volterra fundamental theorems, the Laplace transform method gives an efficient and remarkable performance. Test problems are presented to show the efficiency and reliability of the method.

Keywords: Volterra Integral equations, continuous and weakly singular Kernels , Laplace method