Atul Pasrija . Shelly Arora . S.S. Dhaliwal

Department of Mathematics, Punjabi University, Patiala, 147002, Punjab, India, Email: atulpasrija94678@gmail.com, Department of Mathematics, Punjabi University, Patiala, 147002, Punjab, India, Email: aroshelly@gmail.com, Department of Mathematics, SLIET, Longowal, 148106, Punjab, India, Email: dhaliwallss@gmail.com

Received in final form on August 31, 2023

Abstract
A semi analytic solution of nonlinear (n+1)-dimensional Burgers' equation has been proposed in the present study. The proposed solution has been obtained by homotopy perturbation method (HPM). In the present study the physical behaviour of the system has been discussed when viscosity factor is very small, that is, viscosity factor approaches to zero. The technique has been implemented on small values of the viscosity factor such as ε = 10^(-7). The potential of the technique has been checked numerically on (3+1) dimensional Burgers' equation and the computed numerical values have been verified through absolute error.

Keywords
Semi-analytic technique, Burgers' equation, Homotopy perturbation method.

Cite This Article
Atul Pasrija . Shelly Arora†. S.S. Dhaliwal, Semi - Analytic Solution of (n+1)-Dimensional Burgers’ Equation, J. Innovation Sciences and Sustainable Technologies, 3(4)(2023), 207 - 219. https://doie.org/10.0101/JISST.2024182483

    90    34    Download