The Diffusion Equation Analytic Solution Model shows the analytic solution of the one dimensional diffusion equation. A delta pulse at the origin is set as the initial function. This setup approximately models the temperature increase in a thin, long wire that is heated at the origin by a short laser pulse.

The analytic solution is a Gaussian spreading in time. Its integral is constant, which means that the laser pulse heating energy is conserved in the diffusion process.

Calculus Models are part of "Learning and Teaching Mathematics using Simulations – Plus 2000 Examples from Physics" ISBN 978-3-11-025005-3, Walter de Gruyter GmbH & Co. KG

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Diffusion Equation Analytic Solution Source Code
The source code zip archive contains an EJS-XML representation of the Diffusion Equation Analytic Solution Source Model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 5kb .zip
Last Modified: June 3, 2014
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D. Roess, Computer Program DIFFUSION EQUATION ANALYTIC SOLUTION MODEL (2011), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446).

D. Roess, Computer Program DIFFUSION EQUATION ANALYTIC SOLUTION MODEL (2011), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446>.

Roess, D. (2011). Diffusion Equation Analytic Solution Model [Computer software]. Retrieved October 3, 2022, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446

%0 Computer Program %A Roess, Dieter %D October 25, 2011 %T Diffusion Equation Analytic Solution Model %8 October 25, 2011 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446

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