Approximate Solution of Singularly Perturbed Problems with Numerical Integration Method

Abstract

In this study, the numerical integration method is performed for approximate solution of the singularly perturbed Volterra integro-differential equations. Firstly, it starts with the finite difference method on the uniform mesh points, then the trapezoidal method is used for integrals. The system of equations obtained here is solved with the Thomas algorithm. An example is presented that demonstrates the accuracy and economy of the proposed method