Analytic Study of Coupled Burgers’ Equation

Clemente Cesarano (), Youssouf Massoun (), Abderrezak Said and Mohamed Elamine Talbi
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Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
Youssouf Massoun: Department of Mathematics, Faculty of Sciences, University of Algiers, 2 Street Didouche Mourad, Algiers 16000, Algeria
Abderrezak Said: Department of Mathematics, Faculty of Sciences, Djilali Bounaama University of Khemis Miliana, Khemis Miliana 44225, Algeria
Mohamed Elamine Talbi: Department of Mathematics, Faculty of Sciences, University of Saad-Dahlab Blida1, Blida 09000, Algeria

Mathematics, 2023, vol. 11, issue 9, 1-11

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.

Keywords: Burgers’ equation; analytic solution; homotopy analysis method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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