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

Published online by Cambridge University Press:  04 November 2010

N. H. SWEILAM*
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt (email: n_sweilam@yahoo.com)
M. M. KHADER
Affiliation:
Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt (email: mohamedmbd@yahoo.com)
*
For correspondence; e-mail: n˙sweilam@yahoo.com
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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2010

References

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