Diffusion Equation Analytic Solution Model
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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Record Link
<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 April 21, 2021, 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 21 April 2021).
MLA Format
Roess, Dieter. Diffusion Equation Analytic Solution Model. Computer software. 2011. Java (JRE) 1.5. 21 Apr. 2021 <https://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
EndNote Export Format
%0 Computer Program Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. Diffusion Equation Analytic Solution Model:
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