Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation

摘要

This work develops exact finite-difference schemes for the two-dimensional nonlinear coupled viscous Burgers equation using the analytic solution. We extend the explicit nonstandard finite-difference schemes on the basis of the exact finite-difference schemes to solve the coupled Burgers equation. Numerical examples are presented to verify the efficiency and accuracy of the methods. MSC:39A10, 65L12, 74H15.