A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines
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 algorith...
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| Veröffentlicht in: | Journal of computational and applied mathematics 2005-11, Vol.183 (2), p.245-258 |
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| container_title | Journal of computational and applied mathematics |
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| creator | Wouwer, A. Vande Saucez, P. Schiesser, W.E. Thompson, S. |
| description | 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. |
| doi_str_mv | 10.1016/j.cam.2004.12.030 |
| format | Article |
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| language | eng |
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| source | ScienceDirect Journals (5 years ago - present); Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Catalytic combustion Exact sciences and technology Flame propagation Grid refinement Korteweg–de Vries equation Mathematics Moving grid Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use |
| title | A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines |
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