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

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 exte...

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Main Authors: Z. Pashazadeh Atabakan, A. Kazemi Nasab, A. Kılıçman
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/694043
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author Z. Pashazadeh Atabakan
A. Kazemi Nasab
A. Kılıçman
author_facet Z. Pashazadeh Atabakan
A. Kazemi Nasab
A. Kılıçman
author_sort Z. Pashazadeh Atabakan
collection DOAJ
description 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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institution Kabale University
issn 1085-3375
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publishDate 2013-01-01
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record_format Article
series Abstract and Applied Analysis
spelling doaj-art-16ece159b6ab45b59bfcf3d576ddd75f2025-02-03T01:32:48ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/694043694043On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference MethodZ. Pashazadeh Atabakan0A. Kazemi Nasab1A. Kılıçman2Department of Mathematics, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaA 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.http://dx.doi.org/10.1155/2013/694043
spellingShingle Z. Pashazadeh Atabakan
A. Kazemi Nasab
A. Kılıçman
On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method
Abstract and Applied Analysis
title On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method
title_full On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method
title_fullStr On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method
title_full_unstemmed On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method
title_short On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method
title_sort on solution of fredholm integrodifferential equations using composite chebyshev finite difference method
url http://dx.doi.org/10.1155/2013/694043
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AT akılıcman onsolutionoffredholmintegrodifferentialequationsusingcompositechebyshevfinitedifferencemethod