Solution of Burgers’ equation appears in fluid mechanics by multistage optimal homotopy asymptotic method

Abstract

In this article, we approximate analytical solution of Burgers? equations using the Multistage homotopy asymptotic method which are utilized in modern physics and fluid mechanics. The suggested algorithm is an accurate and simple to-utilize semi-analytic tool for non-linear problems. In the current research we investigation the efficiency and accuracy of the method for the solution of non-linear PDE for large time span. Numerical comparison with the variational iteration method shows the efficacy and accuracy of the proposed method.