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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).
View the source code document attached to this resource
Subjects Levels Resource Types
Mathematical Tools
- Differential Equations
Thermo & Stat Mech
- Kinetics and Dynamics
= Diffusion
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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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
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Record Link
AIP Format
D. Roess, Computer Program DIFFUSION EQUATION ANALYTIC SOLUTION MODEL (2011), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446).
AJP/PRST-PER
D. Roess, Computer Program DIFFUSION EQUATION ANALYTIC SOLUTION MODEL (2011), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446>.
APA Format
Roess, D. (2011). Diffusion Equation Analytic Solution Model [Computer software]. Retrieved October 20, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446
Chicago Format
Roess, Dieter. "Diffusion Equation Analytic Solution Model." http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446 (accessed 20 October 2014).
MLA Format
Roess, Dieter. Diffusion Equation Analytic Solution Model. Computer software. 2011. Java (JRE) 1.5. 20 Oct. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11522&DocID=2446>.
BibTeX Export Format
@misc{ Author = "Dieter Roess", Title = {Diffusion Equation Analytic Solution Model}, Month = {October}, Year = {2011} }
Refer Export Format

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

EndNote Export Format

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


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The AIP Style presented is based on information from the AIP Style Manual.

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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

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