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

Abstract and Applied Analysis

Research Article

S. Shateyi³  M. M. Ezadkhah¹  Emran Tohidi² 

[1] Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran, um.ac.ir;Department of Mathematics, Aligoudarz Branch, Islamic Azad University, Aligoudarz, Iran, srbiau.ac.ir;Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa, ufs.ac.za

Others  :  1319502
DOI  :  10.1155/2014/162896

 received in 2013-11-26, accepted in 2014-02-12,  发布年份 2014

【 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 efficiencyof the proposed method.

【 授权许可】

CC BY   
Copyright © 2014 Emran Tohidi et al. 2014

【 图 表 】

Figure 1

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