Numerical method for a system of integro-differential equations and convergence analysis by Taylor collocation

Abstract

In this paper, we present the Taylor polynomial solutions of system of higher order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms IDVFE into the matrix equations which correspond to a system of linear algebraic equations. Some numerical results are also given to illustrate the efficiency of the method. Keywords: Taylor polynomial, Integro-differential equation, Volterra-Fredholm equations, Convergence analysis