Solution of Volterra integral equations of the 2nd kind with bulge function using Aboodh transform

Abstract

A large class of complexities in mathematical physics, applied mathematics, and engineering are expressed as differential equations with few additions and certain conditions. This research article studies the solution of Volterra integral equations of the second kind where bulge functions take as a known function. To obtain an analytical solution, this study uses the Aboodh transform, the Aboodh inverse transform and the convolution theorem whereas it would be required to discover the precise solution of VIEs. We will also compare it with a numerical solution using a modified Simpson method, and finally, we will represent it graphically.