Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632400 | Applied Mathematics and Computation | 2010 | 9 Pages |
Abstract
A modified Crank–Nicolson scheme based on one-sided difference approximations is proposed for solving time-dependent convection dominated diffusion equations in two-dimensional space. The modified scheme is consistent and unconditionally stable. A priori L2L2 error estimate for the fully discrete modified scheme is derived. With the use of the incremental unknowns preconditioner at each time step, a comparison among several classical numerical schemes has been made and numerical results confirm stability and efficiency of the modified Crank–Nicolson scheme.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lun-Ji Song, Yu-Jiang Wu,