Approximations to linear Klein–Gordon Equations using Haar wavelet

In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations. The results obtained from both methods are compared with exact solutions. Mor...

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Main Authors:	Sana Ikram, Sidra Saleem, Malik Zawwar Hussain
Format:	article
Language:	EN
Published:	Elsevier 2021
Subjects:	65M06 65M12 65M70 Engineering (General). Civil engineering (General) TA1-2040
Online Access:	https://doaj.org/article/f4c664b45c9b40d99ad17b7ddab74d72
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spelling	oai:doaj.org-article:f4c664b45c9b40d99ad17b7ddab74d722021-11-22T04:20:46ZApproximations to linear Klein–Gordon Equations using Haar wavelet2090-447910.1016/j.asej.2021.01.029https://doaj.org/article/f4c664b45c9b40d99ad17b7ddab74d722021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2090447921001295https://doaj.org/toc/2090-4479In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations. The results obtained from both methods are compared with exact solutions. Moreover, both of the methods are also compared together, that indicates much better performance of two dimensional Haar wavelet collocation method (2D HWCM) in a small number of collocation points.Sana IkramSidra SaleemMalik Zawwar HussainElsevierarticle65M0665M1265M70Engineering (General). Civil engineering (General)TA1-2040ENAin Shams Engineering Journal, Vol 12, Iss 4, Pp 3987-3995 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	65M06 65M12 65M70 Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	65M06 65M12 65M70 Engineering (General). Civil engineering (General) TA1-2040 Sana Ikram Sidra Saleem Malik Zawwar Hussain Approximations to linear Klein–Gordon Equations using Haar wavelet
description	In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations. The results obtained from both methods are compared with exact solutions. Moreover, both of the methods are also compared together, that indicates much better performance of two dimensional Haar wavelet collocation method (2D HWCM) in a small number of collocation points.
format	article
author	Sana Ikram Sidra Saleem Malik Zawwar Hussain
author_facet	Sana Ikram Sidra Saleem Malik Zawwar Hussain
author_sort	Sana Ikram
title	Approximations to linear Klein–Gordon Equations using Haar wavelet
title_short	Approximations to linear Klein–Gordon Equations using Haar wavelet
title_full	Approximations to linear Klein–Gordon Equations using Haar wavelet
title_fullStr	Approximations to linear Klein–Gordon Equations using Haar wavelet
title_full_unstemmed	Approximations to linear Klein–Gordon Equations using Haar wavelet
title_sort	approximations to linear klein–gordon equations using haar wavelet
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/f4c664b45c9b40d99ad17b7ddab74d72
work_keys_str_mv	AT sanaikram approximationstolinearkleingordonequationsusinghaarwavelet AT sidrasaleem approximationstolinearkleingordonequationsusinghaarwavelet AT malikzawwarhussain approximationstolinearkleingordonequationsusinghaarwavelet
_version_	1718418257148379136

Approximations to linear Klein–Gordon Equations using Haar wavelet

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