| EXPLICITLY SOLVABLE CHARACTERISTIC METHOD FOR CONVECTION DIFFUSION PROBLEMS |
| |
| 作者姓名： | 谢树森 顾海明 |
| |
| 作者单位： | Xie Shu -sen Department of Applied Mathematics，Qingdao Ccean University，Qingdao 266003，PRC
Gu Hai-ming Department of Mathematics，Shandong University，Jinan 250100，PRC |
| |
| 基金项目： | Project supported by the Doctoral Point Foundation of State Education Commission of China |
| |
| 摘 要： | In this paper, a new method for numerically solving nonlinear convection-dominated diffusion problems is devised and analysed. The discrete time approximations with time stepping along charactcristics are cstablished and solved in spaces posscssing reproducing kernel functions. At each time step, the exact solution of the approximate problem is given by explicit expression. The computational advantage of this method is that the schemes are absolutely stable, and are explicitly solvable as well. The stability and error estimates are derived. Some numerical results are given.
|
EXPLICITLY SOLVABLE CHARACTERISTIC METHOD FOR CONVECTION DIFFUSION PROBLEMS |
| |
| Xie Shu -sen.EXPLICITLY SOLVABLE CHARACTERISTIC METHOD FOR CONVECTION DIFFUSION PROBLEMS[J].Numerical Mathematics A Journal of Chinese Universities English Series,1998(1). |
| |
| Authors: | Xie Shu -sen |
| |
| Institution: | Xie Shu -sen Department of Applied Mathematics,Qingdao Ccean University,Qingdao 266003,PRC
Gu Hai-ming Department of Mathematics,Shandong University,Jinan 250100,PRC |
| |
| Abstract: | In this paper, a new method for numerically solving nonlinear convection-dominated diffusion problems is devised and analysed. The discrete time approximations with time stepping along characteristics are established and solved in spaces possessing reproducing kernel functions. At each time step, the exact solution of the approximate problem is given by explicit expression. The computational advantage of this method is that the schemes are absolutely stable, and are explicitly solvable as well. The stability and error estimates are derived. Some numerical results are given. |
| |
| Keywords: | Characteristic method convection diffusion equation reproducing kerned function |
| 本文献已被 CNKI 等数据库收录！ |
