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

A. Kazemi Nasab | Zendy; Adem Kılıçman | Zendy; Z. Pashazadeh Atabakan | Zendy; S. Abbasbandy | Zendy

Open Access

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

Author(s) -

A. Kazemi Nasab,

Adem Kılıçman,

Z. Pashazadeh Atabakan,

S. Abbasbandy

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/916456

Subject(s) - mathematics , chebyshev iteration , wavelet , chebyshev filter , finite difference , chebyshev equation , nonlinear system , finite difference method , algebraic equation , boundary value problem , mathematical analysis , chebyshev nodes , computer science , orthogonal polynomials , quantum mechanics , artificial intelligence , classical orthogonal polynomials , physics

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

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