Approximate solutions for solving the Klein–Gordon and sine-Gordon equations

dc.contributor.author	Yousif, Majeed A.
dc.contributor.author	Mahmood, Bewar A.
dc.date.accessioned	2018-07-30T06:20:57Z
dc.date.available	2018-07-30T06:20:57Z
dc.date.issued	2017-02
dc.identifier.issn	1815-3852
dc.identifier.uri	https://journal.uob.edu.bh:443/handle/123456789/1159
dc.description.abstract	In this paper, we practiced relatively new, analytical method known as the variational homotopy perturbation method for solving Klein–Gordon and sine-Gordon equations. To present the present method’s effectiveness many examples are given. In this study, we compare numerical results with the exact solutions, the Adomian decomposition method (ADM), the variational iteration method (VIM), homotopy perturbation method (HPM), modified Adomian decomposition method (MADM), and differential transform method (DTM). The results reveal that the VHPM is very effective.	en_US
dc.language.iso	en	en_US
dc.publisher	University of Bahrain	en_US
dc.rights	Attribution-NonCommercial-ShareAlike 4.0 International	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/4.0/	*
dc.subject	Variational homotopy perturbation method
dc.subject	Klein–Gordon equation
dc.subject	sine-Gordon equation
dc.title	Approximate solutions for solving the Klein–Gordon and sine-Gordon equations	en_US
dc.type	Article	en_US
dc.volume	22
dc.issue	1
dc.pagestart	83
dc.pageend	90
dc.source.title	Arab Journal of Basic and Applied Sciences
dc.abbreviatedsourcetitle	AJBAS