Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order

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...

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Bibliographic Details
Published in:Abstract and Applied Analysis Vol. 2013; no. 2013; pp. 700 - 714-1264
Main Authors: Kazemi Nasab, A., Kiliçman, Adem, Pashazadeh Atabakan, Z., Abbasbandy, Saeid
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Limiteds 01.01.2013
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects:
Boundary value problems
Chebyshev approximation
Finite element method
Wavelet transforms
Iran
ISSN:1085-3375, 1687-0409
Online Access:Get full text
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Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/916456