THERMAL SCIENCE

International Scientific Journal

Niaz Ali Shah

,

Imtiaz Ahmad

,

Hanaa Abu-Zinadah

,

Khaled Mohamed Khedher

,

Hijaz Ahmad

MULTISTAGE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR THE K(2,2) EQUATION ARISING IN SOLITARY WAVES THEORY

ABSTRACT
The paper is concern to the approximate analytical solution of K(2,2) using the multistage homotopy asymptotic method which are used in modern physics and engineering. The suggested algorithm is an accurate, effective, and simple to-utilize semi-analytic tool for non-linear problems, and in this manner the current investigation highlights the efficiency and accuracy of the method for the solution of non-linear PDE for large time span. Numerical comparison with the variational iteration method and with homotopy asymptotic method shows the efficacy and accuracy of the proposed method.
KEYWORDS
multistage optimal homotopy asymptotic method, K(2, 2) equation
PAPER SUBMITTED: 2021-03-05
PAPER REVISED: 2021-03-26
PAPER ACCEPTED: 2021-04-05
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2199A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [199 - 205]
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PDF VERSION [DOWNLOAD]
Multistage optimal homotopy asymptotic method for the K(2,2) equation arising in solitary waves theory

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence