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

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 ker...

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Main Authors:	Aziz, Imran, Ul-Islam, Siraj, Fayyaz, Muhammad, Azram, Mohammad
Format:	Article
Language:	English English
Published:	Walailak University,Thailand 2015
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/44552/ http://irep.iium.edu.my/44552/ http://irep.iium.edu.my/44552/1/1065-16740-2-PB.pdf http://irep.iium.edu.my/44552/4/44552_new_algorithms_Scopus.pdf

id	iium-44552
recordtype	eprints
spelling	iium-445522017-11-21T09:14:33Z http://irep.iium.edu.my/44552/ New algorithms for numerical assessment of nonlinear integro-differential equations of second-order using Haar wavelets Aziz, Imran Ul-Islam, Siraj Fayyaz, Muhammad Azram, Mohammad QA Mathematics 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. Walailak University,Thailand 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44552/1/1065-16740-2-PB.pdf application/pdf en http://irep.iium.edu.my/44552/4/44552_new_algorithms_Scopus.pdf 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) http://wjst.wu.ac.th/index.php/wjst/article/view/1065
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics
spellingShingle	QA Mathematics Aziz, Imran Ul-Islam, Siraj Fayyaz, Muhammad Azram, Mohammad New algorithms for numerical assessment of nonlinear integro-differential equations of second-order using Haar wavelets
description	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.
format	Article
author	Aziz, Imran Ul-Islam, Siraj Fayyaz, Muhammad Azram, Mohammad
author_facet	Aziz, Imran Ul-Islam, Siraj Fayyaz, Muhammad Azram, Mohammad
author_sort	Aziz, Imran
title	New algorithms for numerical assessment of nonlinear integro-differential equations of second-order using Haar wavelets
title_short	New algorithms for numerical assessment of nonlinear integro-differential equations of second-order using Haar wavelets
title_full	New algorithms for numerical assessment of nonlinear integro-differential equations of second-order using Haar wavelets
title_fullStr	New algorithms for numerical assessment of nonlinear integro-differential equations of second-order using Haar wavelets
title_full_unstemmed	New algorithms for numerical assessment of nonlinear integro-differential equations of second-order using Haar wavelets
title_sort	new algorithms for numerical assessment of nonlinear integro-differential equations of second-order using haar wavelets
publisher	Walailak University,Thailand
publishDate	2015
url	http://irep.iium.edu.my/44552/ http://irep.iium.edu.my/44552/ http://irep.iium.edu.my/44552/1/1065-16740-2-PB.pdf http://irep.iium.edu.my/44552/4/44552_new_algorithms_Scopus.pdf
first_indexed	2023-09-18T21:03:19Z
last_indexed	2023-09-18T21:03:19Z
_version_	1777410768554164224

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

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