Zhanlav, T., Chuluunbaatar, O. and Ulziibayar, V. (2014) A Brief Description of Higher-Order Accurate Numerical Solution of Burgers’ Equation. Series Mathematics, Information Sciences, Physics, 1, 86-91.

has been cited by the following article:

• TITLE: Higher-Order Numerical Solution of Two-Dimensional Coupled Burgers’ Equations

  AUTHORS: T. Zhanlav, O. Chuluunbaatar, V. Ulziibayar

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

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.6 No.2, June 16, 2016

  ABSTRACT: 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.