Diffusion Equation Analytic Solution Model

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written by Dieter Roess

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

Please note that this resource requires at least version 1.5 of Java (JRE).

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Last Modified: June 3, 2014
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Subjects	Levels	Resource Types
Mathematical Tools - Differential Equations Thermo & Stat Mech - Kinetic and Diffusive Processes = Diffusion	- Upper Undergraduate - Lower Undergraduate	- Instructional Material = Simulation

Intended Users	Formats	Ratings
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Access Rights:: Free access
License:: This material is released under a GNU General Public License Version 3 license.
Rights Holder:: Dieter Roess
Record Cloner:: Metadata instance created October 25, 2011 by Wolfgang Christian
Record Updated:: June 3, 2014 by Andreu Glasmann
Last Update when Cataloged:: October 25, 2011
Other Collections:: The Open Source Physics

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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=11522">Roess, Dieter. "Diffusion Equation Analytic Solution Model."</a>

AIP Format

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

AJP/PRST-PER

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

APA Format

Roess, D. (2011). Diffusion Equation Analytic Solution Model [Computer software]. Retrieved September 16, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446

Chicago Format

Roess, Dieter. "Diffusion Equation Analytic Solution Model." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446 (accessed 16 September 2024).

MLA Format

Roess, Dieter. Diffusion Equation Analytic Solution Model. Computer software. 2011. Java (JRE) 1.5. 16 Sep. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446>.

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@misc{ Author = "Dieter Roess", Title = {Diffusion Equation Analytic Solution Model}, Month = {October}, Year = {2011} }

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

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%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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Diffusion Equation Analytic Solution Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Diffusion Equation Analytic Solution Model.

relation by Wolfgang Christian

Supplements Learning and Teaching Mathematics using Simulations – Plus 2000 Examples from Physics

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