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

Iranian Journal of Numerical Analysis and Optimization

مقاله 3، دوره 4، شماره 1 - شماره پیاپی 5، مرداد 2014، صفحه 41-56   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v4i1.34848

نویسنده

A. Golbabai^*

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

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