Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials

被引：21

作者：

Tohidi, Emran ^{[1
]}

Ezadkhah, M. M. ^{[2
]}

Shateyi, S. ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Aligoudarz Branch, Aligoudarz, Iran

[2] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Appl Math, Mashhad, Iran

[3] Univ Orange Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, ZA-9300 Bloemfontein, South Africa

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

COLLOCATION METHOD;

D O I：

10.1155/2014/162896

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a computational approach for solving a class of nonlinear Volterra integro-differential equations of fractional order which is based on the Bernoulli polynomials approximation. Our method consists of reducing the main problems to the solution of algebraic equations systems by expanding the required approximate solutions as the linear combination of the Bernoulli polynomials. Several examples are given and the numerical results are shown to demonstrate the efficiency of the proposed method.

引用

页数：7

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