New algorithms for numerical assessment of nonlinear integro-differential equations of second-order using Haar wavelets

Aziz, Imran and Ul-Islam, Siraj and Fayyaz, Muhammad and Azram, Mohammad (2015) New algorithms for numerical assessment of nonlinear integro-differential equations of second-order using Haar wavelets. Walailak Journal of Science and Technology (WJST), 12 (11). pp. 995-1007. ISSN 2228-835X (O), 1686-3933 (P)

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Abstract

This paper deals with the extended design for Fredholm and Volterra integral equations and design for Fredholm and Volterra integro-differential equations of first-order to second-order nonlinear Fredholm and second-order nonlinear Volterra integro-differential equations having square integrable kernels. This approach utilizes the inherent dynamics of the Haar wavelet. The Haar wavelet is used to provide a single platform for the proposed method. The method is tested on problems from literature, and numerical results are compared with existing methods. The numerical results indicate that the accuracy of the method is reasonably high, even on a coarse grid.

Item Type:	Article (Journal)
Additional Information:	3127/44552
Uncontrolled Keywords:	Haar wavelet, collocation method, second-order Fredholm integro-differential equation of second kind, second-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:	03 Sep 2015 13:38
Last Modified:	21 Nov 2017 17:14
URI:	http://irep.iium.edu.my/id/eprint/44552

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