Semi-analytical solutions of three-dimensional (3D) coupled Burgers’ equations by new Laplace variational iteration method

Abstract

In this article, New Laplace variational iteration method (NLVIM), which is based upon the combination of Laplace transform and modified variational iteration is used to solve the three dimensional (3D) coupled Burgers’ equations. The proposed method is capable to find the numerical solutions as well as series solution which converges to the exact solution. The numerical results obtained by New Laplace Variational iteration method (NLVIM) after some iterations or terms are very closer to the exact solutions with a negligible absolute error. Some examples are given to illustrate the accuracy of the numerical results by New Laplace variational iteration method (NLVIM).

Keywords

• Laplace transformation
• Modified variational iterative method
• Three dimensional coupled Burgers’ equation