Article ID Journal Published Year Pages File Type
4958668 Computers & Mathematics with Applications 2016 12 Pages PDF
Abstract
A space-time fully decoupled formulation for solving two-dimensional Burgers' equations is proposed based on the Coiflet-type wavelet sampling approximation for a function defined on a bounded interval. By applying a wavelet Galerkin approach for spatial discretization, nonlinear partial differential equations are first transformed into a system of ordinary differential equations, in which all matrices are completely independent of time and never need to be updated in the time integration. Finally, the mixed explicit-implicit scheme is employed to solve the resulting semi-discretization system. By numerically studying three widely considered test problems, results demonstrate that the proposed method has a much better accuracy and a faster convergence rate than many existing numerical methods. Most importantly, the study also indicates that the present wavelet method is capable of solving the two-dimensional Burgers' equation at high Reynolds numbers.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
Authors
, , ,