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On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method

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  • Z. Pashazadeh Atabakan
  • A. Kazemi Nasab
  • A. Kılıçman

Abstract

A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points. Composite Chebyshev finite difference method is indeed an extension of the Chebyshev finite difference method and can be considered as a nonuniform finite difference scheme. The main advantage of the proposed method is reducing the given problem to a set of algebraic equations. Some examples are given to approve the efficiency and the accuracy of the proposed method.

Suggested Citation

  • Z. Pashazadeh Atabakan & A. Kazemi Nasab & A. Kılıçman, 2013. "On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, June.
    • Handle: RePEc:hin:jnlaaa:694043
    DOI: 10.1155/2013/694043
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