THERMAL SCIENCE

International Scientific Journal

Fuzhang Wang

,

Ali Niaz Shah

,

Imtiaz Ahmad

,

Hijaz Ahmad

,

Kamran Muhammad Alam

,

Phatiphat Thounthong

SOLUTION OF BURGERS' EQUATION APPEARS IN FLUID MECHANICS BY MULTISTAGE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD

ABSTRACT
In this article, we approximate analytical solution of Burgers' equations using the multistage homotopy asymptotic method which are utilized in modern physics and fluid mechanics. The suggested algorithm is an accurate and simple to-utilize semi-analytic tool for non-linear problems. In the current research we investigation 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 shows the efficacy and accuracy of the proposed method.
KEYWORDS
multistage optimal homotopy asymptotic method, Burgers’ equation
PAPER SUBMITTED: 2022-05-11
PAPER REVISED: 2022-06-14
PAPER ACCEPTED: 2022-06-24
PUBLISHED ONLINE: 2023-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI23S1087W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [87 - 92]
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Solution of burgers' equation appears in fluid mechanics by multistage optimal homotopy asymptotic method

© 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