alexa Numerical Studies for Solving Fractional Integro-Differential Equations by using Least Squares Method and Bernstein Polynomials | OMICS International
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Fluid Mechanics: Open Access
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Research Article

Numerical Studies for Solving Fractional Integro-Differential Equations by using Least Squares Method and Bernstein Polynomials

Oyedepo T1, Taiwo OA1*, Abubakar JU2 and Ogunwobi ZO2

1Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Nigeria

2Department of Mathematical Sciences, Onabisi Onabanjo University, Ago Iwoye, Ogun State, Nigeria

*Corresponding Author:
Taiwo OA
Department of Mathematics, Faculty of Physical Sciences
University of Ilorin, Nigeria
Tel: +234 813 535 9408
E-mail: [email protected]

Received Date: November 10, 2016; Accepted Date: December 23, 2016; Published Date: December 28, 2016

Citation: Oyedepo T, Taiwo OA, Abubakar JU, Ogunwobi ZO (2016) Numerical Studies for Solving Fractional Integro-Differential Equations by using Least Squares Method and Bernstein Polynomials. Fluid Mech Open Acc 3: 142.

Copyright: © 2016 Oyedepo T, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

In this paper, two numerical methods for solving fractional integro-differential equations are proposed. The fractional derivative is considered in the Caputo sense. The proposed methods are least squares method aid of Bernstein polynomials function as the basis. The proposed method reduces this type of equation into systems to the solution of system of linear algebraic equations. To demonstrate the accuracy and applicability of the presented methods some test examples are provided. Numerical results show that this approach is easy to implement and accurate when applied to fractional integro-differential equations. We show that the method is effective and has high convergenc rate.

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