Author(s)

T. Zhanlav¹, O. Chuluunbaatar^1,2, V. Ulziibayar^1,3

¹Institute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia.
²Joint Institute for Nuclear Research, Moscow, Russia.
³School of Applied Sciences, Mongolian University of Science and Technology, Ulaanbaatar, Mongolia.

We proposed a higher-order accurate explicit finite-difference scheme for solving the two-dimensional heat equation. It has a fourth-order approximation in the space variables, and a second-order approximation in the time variable. As an application, we developed the proposed numerical scheme for solving a numerical solution of the two-dimensional coupled Burgers’ equations. The main advantages of our scheme are higher accurate accuracy and facility to implement. The good accuracy of the proposed numerical scheme is tested by comparing the approximate numerical and the exact solutions for several two-dimensional coupled Burgers’ equations.

Two-Dimensional Coupled Burgers’ Equation, Hopf-Cole Transformation, Higher-Order Accurate Numerical Schemes

Zhanlav, T. , Chuluunbaatar, O. and Ulziibayar, V. (2016) Higher-Order Numerical Solution of Two-Dimensional Coupled Burgers’ Equations. American Journal of Computational Mathematics, 6, 120-129. doi: 10.4236/ajcm.2016.62013.