A MATLAB Method of Lines Template for Evolution Equations
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.
Conference Title
MODSIM 2003 International Congress on Modelling and Simulation: Integrative modelling of biophysical, social, and Economic Systems for Resource Management Solutions
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Copyright Statement
Copyright 2003 Modellling & Simulation Society of Australia & New Zealand. The attached file is reproduced here in accordance with the copyright policy of the publisher. For information about this conference please refer to the conference’s website or contact the authors.