Open Access
2013 Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order
A. Kazemi Nasab, A. Kılıçman, Z. Pashazadeh Atabakan, S. Abbasbandy
Abstr. Appl. Anal. 2013: 1-15 (2013). DOI: 10.1155/2013/916456

Abstract

A new method based on a hybrid of Chebyshev wavelets and finite difference methods is introduced for solving linear and nonlinear fractional differential equations. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of linear or nonlinear algebraic equations. This method can be considered as a nonuniform finite difference method. Some examples are given to verify and illustrate the efficiency and simplicity of the proposed method.

Citation

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A. Kazemi Nasab. A. Kılıçman. Z. Pashazadeh Atabakan. S. Abbasbandy. "Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order." Abstr. Appl. Anal. 2013 1 - 15, 2013. https://doi.org/10.1155/2013/916456

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095489
MathSciNet: MR3143551
Digital Object Identifier: 10.1155/2013/916456

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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