An Implicit Finite Difference Scheme with Preconditioning for Convection Dominated Diffusion Equation

摘要：

An implicit finite difference scheme for solving time-dependent convection dominated diffusion equations in two space variables is presented. A one-sided difference approximation is used for the convection terms and a second-order central difference approximation for the diffusion term. The implicit scheme is consistent, unconditionally stable and its L2 error estimation is optimal. By preconditioning technique of incremental unknowns, the implicit scheme is an efficient one.

作者: Lunji Song Yujiang Wu Yang Wang Sa Xie

作者单位: School of Mathematics and Statistics Lanzhou University Lanzhou 730000, P.R.China Nonferrous Metallurgy Co.Ltd Lanzhou Engineering & Research Institute Lanzhou 730000, P.R.China

会议类型: 国际会议

会议名称: The Second International Joint Conference on Computational Science and Optimization(CSO 2009)(2009 国际计算科学与优化会议)

会议地点: 三亚

会议语种:英文

页码: 1691-1694

在线出版日期: 2009-04-24（万方平台首次上网日期，不代表论文的发表时间）