A mathematical model to solve the nonlinear Burger's equation by homotopy perturbation method

  • Ravendra Singh
  • Dinesh Kumar Maurya
  • Yogendra Kumar Rajoria

Abstract

The approximate and exact solutions of non-linear Burger's equation by a homotopy perturbation method (HPM) are introduced in this paper. The HPM yield solution is convergent from the easy computability term; HPM is an effective and easy tool for cracking many real-world difficulties. Numerical illustrations are provided to check the reliability of the process and compared their results to solve the problem by the Variational iteration method (VIM) and Adomian's decomposition method (ADM). The three-dimension and two-dimension graphical solutions of the non-linear Burger's equation are also provided to validate the mathematical models. The MATLAB software is used to calculate the series obtained from HPM.

Published
2020-02-26