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

نویسندگان
Golbabai, A. ID 1

1

doi
10.22067/ijnao.v4i1.34848
چکیده

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.

کلیدواژه‌ها
Operational matrix of integration, Volterra-Fredholm, Nonlinear system of integro-differential equations, Fractional order, Legendre wavelet