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

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

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 exp...

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Main Authors: Emran Tohidi, M. M. Ezadkhah, S. Shateyi
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/162896
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spelling doaj-f52d713ee0af4327aa10a0887e271be72020-11-24T20:58:47ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/162896162896Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli PolynomialsEmran Tohidi0M. M. Ezadkhah1S. Shateyi2Department of Mathematics, Aligoudarz Branch, Islamic Azad University, Aligoudarz, IranDepartment of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranInstitute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South AfricaThis 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.http://dx.doi.org/10.1155/2014/162896
collection DOAJ
language English
format Article
sources DOAJ
author Emran Tohidi
M. M. Ezadkhah
S. Shateyi
spellingShingle Emran Tohidi
M. M. Ezadkhah
S. Shateyi
Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials
Abstract and Applied Analysis
author_facet Emran Tohidi
M. M. Ezadkhah
S. Shateyi
author_sort Emran Tohidi
title Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials
title_short Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials
title_full Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials
title_fullStr Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials
title_full_unstemmed Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials
title_sort numerical solution of nonlinear fractional volterra integro-differential equations via bernoulli polynomials
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/162896
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AT mmezadkhah numericalsolutionofnonlinearfractionalvolterraintegrodifferentialequationsviabernoullipolynomials
AT sshateyi numericalsolutionofnonlinearfractionalvolterraintegrodifferentialequationsviabernoullipolynomials
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