System of linear second order Volterra integro-differential equations using Single Term Walsh Series technique

Abstract

In this article, we deal with a system of linear second order Volterra integro-differential equations of the second kind and their numerical solutions using Single Term Walsh Series (STWS) technique. The given system of linear second order Volterra integro-differential equations of the second kind is converted into a linear system of algebraic equations. Solving this linear system of algebraic equations, we find the discrete solutions to the system of linear second order Volterra integro-differential equations of the second kind. Numerical examples are presented and the numerical results are compared with the one of the spectral methods, Chebyshev polynomial method to show the efficiency of the STWS method.