Open AccessSolution of Burgers’ equation appears in fluid mechanics by multistage optimal homotopy asymptotic method
Author(s) -
Fuzhang Wang,
Niaz Ali Shah,
Imtiaz Ahmad,
Hijaz Ahmad,
Kamran Alam,
Phatiphat Thounthong
Publication year - 2022
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci210302343w
Subject(s) - homotopy analysis method , simple (philosophy) , burgers' equation , homotopy perturbation method , mathematics , homotopy , fluid mechanics , current (fluid) , computer science , mathematical analysis , partial differential equation , physics , mechanics , philosophy , epistemology , pure mathematics , thermodynamics
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.