Numerical Solutions of Coupled Burgers’ Equations

Abstract

In this article, two new modified variational iteration algorithms are investigated for the numerical solution of coupled Burgers’ equations. These modifications are made with the help of auxiliary parameters to speed up the convergence rate of the series solutions. Three numerical test problems are given to judge the behavior of the modified algorithms, and error norms are used to evaluate the accuracy of the method. Numerical simulations are carried out for different values of parameters. The results are also compared with the existing methods in the literature.

Keywords

• modified variational iteration algorithm-i
• modified variational iteration algorithm-ii
• coupled burgers equation
• mvia-ii