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A CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR SOLVING FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS

Part of: Real functions

Published online by Cambridge University Press:  04 November 2010

N. H. SWEILAM  and
M. M. KHADER
N. H. SWEILAM*
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt (email: [email protected])
M. M. KHADER
Affiliation:
Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt (email: [email protected])
*
✉For correspondence; e-mail: n˙[email protected]
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Abstract

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A Chebyshev pseudo-spectral method for solving numerically linear and nonlinear fractional-order integro-differential equations of Volterra type is considered. The fractional derivative is described in the Caputo sense. The suggested method reduces these types of equations to the solution of linear or nonlinear algebraic equations. Special attention is given to study the convergence of the proposed method. Finally, some numerical examples are provided to show that this method is computationally efficient, and a comparison is made with existing results.

Keywords

Chebyshev pseudo-spectral methodfractional-order integro-differential equations of Volterra type

MSC classification

Secondary: 26A33: Fractional derivatives and integrals
Type
Research Article
Information
The ANZIAM Journal , Volume 51 , Issue 4 , April 2010 , pp. 464 - 475
Copyright
Copyright © Australian Mathematical Society 2010

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