摘要
对一维、定常、常系数、含源对流扩散方程给出了一种原则上可达任意阶精度的三点紧致差分格式,该格式具有不依赖ε的一致收敛性和无条件稳定性,故而适应于大的Péclet数,即对流占优问题.数值实验验证了理论分析的结果.
A compact highorder difference scheme is given for a onedimentional steady convectiondiffusion problem. The method has εuniform convergence and unconditional stability. Error estimate of solution for the difference scheme is also given. Numerical experiments are provided to back up the analasis.
出处
《天津师范大学学报（自然科学版）》
CAS
2003年第1期29-33,共5页
Journal of Tianjin Normal University：Natural Science Edition
基金
天津师范大学青年科学基金资助项目(521146)
关键词
对流扩散方程
Péclet数
紧致差分格式
对流占优问题
convection-diffusion problem
Péclet number
compact diffenrence scheme
advection-dominated problem
