A MATLAB Method of Lines Template for Evolution Equations
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| Title | A MATLAB Method of Lines Template for Evolution Equations |
|---|---|
| Author | Lee, Hock Seng; Matthews, Christopher John; Braddock, Roger David; Sander, G.C.; Gandola, Franck |
| Publication Title | MODSIM 2003 International Congress on Modelling and Simulation: Integrative modelling of biophysical, social, and Economic Systems for Resource Management Solutions |
| Editor | David A. Post |
| Year Published | 2003 |
| Place of publication | Canberra |
| Publisher | Modelling and Simulation Society of Australia and New Zealand Inc. |
| Abstract | Many environmental problems involve diffusion and convection processes, which can be described by Partial Differential Equations (PDEs). This paper will describe the development of a MATLAB template that generates a numerical solution to PDEs using the Method of Lines. The template will be applied to various problems within soil physics to demonstrate the versatility of the method. In particular, the template will generate a solution for one-dimensional infiltration, and two-dimensional infiltration over a complex geometry. Where possible, the results from the template will be compared against analytical solutions to determine the accuracy of the numerical solution. In addition, the paper will provide a discussion on possible extensions to the template and future directions. |
| Peer Reviewed | Yes |
| Published | Yes |
| Publisher URI | http://mssanz.org.au/ |
| ISBN | 1 74052 098X |
| Conference name | MODSIM 2003 International Congress on Modelling and Simulation |
| Location | Townsville |
| Date From | 2003-07-14 |
| Date To | 2003-07-17 |
| URI | http://hdl.handle.net/10072/1841 |
| Date Accessioned | 2004-03-19 |
| Date Available | 2010-07-30T07:19:01Z |
| Language | en_AU |
| Research Centre | Atmospheric Environment Research Centre |
| Faculty | Faculty of Environmental Sciences |
| Subject | PRE2009-Simulation and Modelling |
| Publication Type | Conference Publications (Full Written Paper - Refereed) |
| Publication Type Code | e1 |
Please use this identifier to cite this record: http://hdl.handle.net/10072/1841
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