Finite Element Method for solving Linear Volterra Integro-Differential Equations of the second kind

Abstract

In this paper, we present a method for numerical solution of linear Volterra integro - differential equations with boundary conditions. First, we obtain variational form of the problem, and then, finite element method and basis functions will be used. Also, the error analysis of the method is considered. Furthermore, the efficiency of the proposed method will be considered through numerical examples.