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

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

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

Author(s) -

Z. Pashazadeh Atabakan,

A. Kazemi Nasab,

Adem Kılıçman

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 - 10.1155/2013/694043

Subject(s) - mathematics , chebyshev iteration , chebyshev equation , chebyshev nodes , chebyshev polynomials , algebraic equation , chebyshev filter , mathematical analysis , finite difference , fredholm integral equation , finite difference method , integral equation , classical orthogonal polynomials , orthogonal polynomials , nonlinear system , physics , quantum mechanics

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.

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