Effective solution method for the second kind volterra integral equations with separable kernels

Abstract

This paper examined the solution of Volterra integral equations of the second kind with separable kernels using Taylor series expansion method. A simple formula for expressing the derivatives of the unknown function in terms of lower order derivatives is derived. The proposed method is applied to solve both cases of linear and non linear Volterra integral equations of the second kind with separable kernels obtained from the literature. The results of the numerical examples considered showed the efficiency and reliability of the method.