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

Author

Listed:
  • A. Kazemi Nasab
  • A. Kılıçman
  • Z. Pashazadeh Atabakan
  • S. Abbasbandy

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.

Suggested Citation

  • A. Kazemi Nasab & A. Kılıçman & Z. Pashazadeh Atabakan & S. Abbasbandy, 2013. "Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:916456
    DOI: 10.1155/2013/916456
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    References listed on IDEAS

    as
    1. Abdelouahab Kadem & Adem Kilicman, 2012. "The Approximate Solution of Fractional Fredholm Integrodifferential Equations by Variational Iteration and Homotopy Perturbation Methods," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Abdelouahab Kadem & Adem Kilicman, 2012. "The Approximate Solution of Fractional Fredholm Integrodifferential Equations by Variational Iteration and Homotopy Perturbation Methods," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, May.
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