A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines
- 作者：A. Vande Wouwer ; P. Saucez ; W.E. Schiesser and S. Thompson
- 关键词：Partial differential equations ; Grid refinement ; Moving grid ; Catalytic combustion ; Flame propagation ; Korteweg– ; de Vries equation
- 刊名：Journal of Computational and Applied Mathematics
- 出版年：2005
- 期刊代码：72_03770427
- 类别：cp
- 出版时间：2005
- 卷：183
- 期：2
- 页码：245-258
- 文件大小：361 K
摘要
In this paper, we report on the development of a MATLAB library for the solution of partial differential equation systems following the method of lines. In particular, we focus attention on upwind finite difference schemes and grid adaptivity, i.e., grid movement or grid refinement. Several algorithms are presented and their performance is demonstrated with illustrative examples including a fixed-bed reactor with periodic flow reversal, a model of flame propagation, and the Korteweg–de Vries equation.