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

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	3127/29023
Uncontrolled Keywords:	Haar wavelets, Collocation method, Third order Fredholm integro-differential equa- tions of second kind, Third order Volterra integro-differential equations of second kind
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Prof Mohammad Azram
Date Deposited:	15 May 2013 08:53
Last Modified:	17 Jul 2014 09:41
URI:	http://irep.iium.edu.my/id/eprint/29023

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