New Exact Solutions of Burgers’ Equation Using Power Index Method

Autor: Khalil Ahmad, Khudija Bibi
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2022 (2022)
Druh dokumentu: article
ISSN: 1607-887X
DOI: 10.1155/2022/5211625
Popis: In this article, we focus on the new exact solutions of Burger’s equation by using a new technique which is known as the power index method (PIM). In this method, we choose suitable indexes of independent variables and similarity transformation so that the partial differential equation may be converted into ODE. We have obtained analytic solution of the ODE by using symbolic package Maple. We have got exact solution of Burgers’ equation by using analytic solution of ODE and similarity transformation. The proposed method has been effectively employed to find new exact solutions for the nonlinear Burgers’ equation. Finally, the proposed resulting answers are compared with the homotopy perturbation, decomposition, and variational iteration solutions.
Databáze: Directory of Open Access Journals
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