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

Abstract

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
• nonlinear system of integro-differential equations
• fractional order
• legendre wavelet