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://www.mssanz.org.au/MODSIM03
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.
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
Language en_US
Faculty Faculty of Environmental Sciences
Subject PRE2009-Simulation and Modelling
Publication Type Conference Publications (Full Written Paper - Refereed)
Publication Type Code e1

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