Approximate analytical solution of one dimensional nonlinear Burger’s equation using Homotopy Perturbation method

Abstract

As a solution to the nonlinear Burger's issue in a single dimension, the homotopy perturbation method (HPM) is what we recommend utilizing according to the findings of this research. We have reached a series solution of the equations in terms of convergent series with easily computable components thanks to the fact that the nonlinear elements of Burger's equations may be addressed by using the homotopy perturbation approach (HPM). HPM is closely associated with the concept of the sum of an infinite series term, which frequently and rapidly converges to the correct response. The intricate equation is simplified into a more understandable form by using the HPM. According to the data that was gathered, the method that was recommended performs better than the state-of-the-art solutions for similar PDEs, and it is also much easier to put into practice.