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:	Atabakan, Zohreh Pashazadeh, Nasab, Aliasghar Kazemi, Kilicman, Adem
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2013
Online Access:	http://psasir.upm.edu.my/id/eprint/30128/ http://psasir.upm.edu.my/id/eprint/30128/ http://psasir.upm.edu.my/id/eprint/30128/ http://psasir.upm.edu.my/id/eprint/30128/1/30128.pdf

id	upm-30128
recordtype	eprints
spelling	upm-301282017-10-19T05:47:43Z http://psasir.upm.edu.my/id/eprint/30128/ On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30128/1/30128.pdf Atabakan, Zohreh Pashazadeh and Nasab, Aliasghar Kazemi and Kilicman, Adem (2013) On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method. Abstract and Applied Analysis, 2013. art. no. 694043. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/694043/abs/ 10.1155/2013/694043
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Putra Malaysia
building	UPM Institutional Repository
collection	Online Access
language	English
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.
format	Article
author	Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem
spellingShingle	Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method
author_facet	Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem
author_sort	Atabakan, Zohreh Pashazadeh
title	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_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_sort	on solution of fredholm integrodifferential equations using composite chebyshev finite difference method
publisher	Hindawi Publishing Corporation
publishDate	2013
url	http://psasir.upm.edu.my/id/eprint/30128/ http://psasir.upm.edu.my/id/eprint/30128/ http://psasir.upm.edu.my/id/eprint/30128/ http://psasir.upm.edu.my/id/eprint/30128/1/30128.pdf
first_indexed	2018-09-07T15:37:09Z
last_indexed	2018-09-07T15:37:09Z
_version_	1610963620203593728

On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method

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