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

Z. Pashazadeh Atabakan, A. Kazemi Nasab and A. Kılıçman

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:694043

DOI: 10.1155/2013/694043

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