New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets

This paper deals with the extension of earlier work [3] (designed for Fredholm and Voltera integral equations), [16] (designed for Fredholm and Voltera integro-differential equations of first-order) and [4] (designed for Fredholm and Voltera integro-differential equations of second-order) to third-o...

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Main Authors:	Fayyaz , M., Azram, Mohammad
Format:	Article
Language:	English
Published:	Sci.Int.(Lahore) 2013
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/29023/ http://irep.iium.edu.my/29023/ http://irep.iium.edu.my/29023/1/10285048881%291-6_-Azram_SIL_Malaysia_25-1-13.pdf

id	iium-29023
recordtype	eprints
spelling	iium-290232014-07-17T01:41:41Z http://irep.iium.edu.my/29023/ New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets Fayyaz , M. Azram, Mohammad QA Mathematics This paper deals with the extension of earlier work [3] (designed for Fredholm and Voltera integral equations), [16] (designed for Fredholm and Voltera integro-differential equations of first-order) and [4] (designed for Fredholm and Voltera integro-differential equations of second-order) to third-order nonlinear Fredholm as well as nonlinear Voltera integro-differential equations. The approach used in this paper make use of hidden valuable dimensions of Haar wavelets. The proposed method provides strong generic ground, thus yielding solution of both Fredholm and Volterra integro-differential equations of third-order and second kind. Four numerical examples are used to illustrate the accuracy of the proposed method. Sci.Int.(Lahore) 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29023/1/10285048881%291-6_-Azram_SIL_Malaysia_25-1-13.pdf Fayyaz , M. and Azram, Mohammad (2013) New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets. Science International Lahore, 25 (1). pp. 1-6. ISSN 1013-5316 http://www.sci-int.com/pdf/10285048881)1-6%20-Azram%20SIL%20Malaysia%2025-1-13.pdf
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Fayyaz , M. Azram, Mohammad New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets
description	This paper deals with the extension of earlier work [3] (designed for Fredholm and Voltera integral equations), [16] (designed for Fredholm and Voltera integro-differential equations of first-order) and [4] (designed for Fredholm and Voltera integro-differential equations of second-order) to third-order nonlinear Fredholm as well as nonlinear Voltera integro-differential equations. The approach used in this paper make use of hidden valuable dimensions of Haar wavelets. The proposed method provides strong generic ground, thus yielding solution of both Fredholm and Volterra integro-differential equations of third-order and second kind. Four numerical examples are used to illustrate the accuracy of the proposed method.
format	Article
author	Fayyaz , M. Azram, Mohammad
author_facet	Fayyaz , M. Azram, Mohammad
author_sort	Fayyaz , M.
title	New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets
title_short	New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets
title_full	New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets
title_fullStr	New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets
title_full_unstemmed	New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets
title_sort	new algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets
publisher	Sci.Int.(Lahore)
publishDate	2013
url	http://irep.iium.edu.my/29023/ http://irep.iium.edu.my/29023/ http://irep.iium.edu.my/29023/1/10285048881%291-6_-Azram_SIL_Malaysia_25-1-13.pdf
first_indexed	2023-09-18T20:42:38Z
last_indexed	2023-09-18T20:42:38Z
_version_	1777409466619133952

New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets

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