A wavelet method for solving coupled viscous Burgers' equations
Xiaojing Liu, Jizeng Wang, Youhe Zhou · AIP conference proceedings · 2013
A modified wavelet Galerkin method was developed recently by the authors for the solution of nonlinear boundary value problems. In order to further investigate the accuracy and practical applicability of the method on solving initial boundary value problems, we have considered a coupled viscous Burgers' equation, a broadly accepted benchmark testing problem, as the numerical example. By solving the Burgers equation, the solutions exhibit a much better accuracy than that by the differential quadrature method, which is widely used for solving various science and engineering problems. It has also been shown that the proposed wavelet method can be easily applied to the solution of many other types of nonlinear partial differential equations.