Analytic Study of Coupled Burgers’ Equation-Reference-Cited by-同舟云学术

Analytic Study of Coupled Burgers’ Equation

Published:2023-04-27 Issue:9 Volume:11 Page:2071
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Cesarano Clemente¹,Massoun Youssouf²^ORCID,Said Abderrezak³⁴,Talbi Mohamed Elamine⁵

Affiliation:

1. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

2. Department of Mathematics, Faculty of Sciences, University of Algiers, 2 Street Didouche Mourad, Algiers 16000, Algeria

3. Department of Mathematics, Faculty of Sciences, Djilali Bounaama University of Khemis Miliana, Khemis Miliana 44225, Algeria

4. Laboratory of Nonlinear Partial Differential Equations and History of Mathematics, ENS Kouba, Kouba 16308, Algeria

5. Department of Mathematics, Faculty of Sciences, University of Saad-Dahlab Blida1, Blida 09000, Algeria

Abstract

In this paper, we construct an analytical solution of the coupled Burgers’ equation, using the homotopy analysis method, which is a semi-analytical method, the approximate solution obtained by this method is convergent for different values of the convergence control parameter ℏ, the optimal value of ℏ corresponding with the minimum error to be determined by the residual. The results obtained by the present method are compared with other obtained solutions by different numerical methods.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/9/2071/pdf

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