A numerical technique based on operational matrices for solving nonlinear integro-di erential equations

This paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional order integro-differential equations. Our tools for this aims is operational matrices of integration and fractional integration. By this method the given problems reduce to solve a system of algebraic equations. Illustrative examples are included to demonstrate the efficiency and high accuracy of the method.

Keywords:

Operational matrix of integration , Volterra-Fredholm , Non- linear system of integro-di erential equations , Fractional order , Legendre wavelet