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November 2011

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The Open Source Physics Project is supported by NSF DUE-0442581.

Computer Program Detail Page

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written by Larry Engelhardt
The Levenberg-Marquardt Fitting of Nuclear Decay Model demonstrates how EJS can be used to fit experimental data.  In this simulation, nuclear decay data are used to provide a simple example, but this same process can be applied to any type of data.  The sum of squared deviations is minimized but this can be modified to instead minimize the value of the chi-squared or reduced chi-squared deviation but if your data has uncertainty estimates.  The Levenberg-Marquardt algorithm is used to carry out the minimization, and you can choose whether you want your theory data to be generated using the analytical function for nuclear activity,
A(t) = Ai exp(-λt),
or by numerically solving the ODE,
dN/dt = -λN,
where N represents the number of radioactive nuclei at time t, and using the relation A = Nλ.  Note that this ODE could be replaced with a system of several coupled ODEs to simulate more complicated theoretical data.

The  Levenberg-Marquardt Fitting of Nuclear Decay Model was created using the Easy Java Simulations (EJS) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_fmu_Fitting_LeastSquares_LevenbergMarquardt.jar file will run the program if Java is installed. You can modify this simulation if you have EJS installed by right-clicking within the plot and selecting "Open Ejs Model" from the pop-up menu item.

Please note that this resource requires at least version 1.5 of Java.
View the source code document attached to this resource
Subjects Levels Resource Types
General Physics
- Computational Physics
- Measurement/Units
= Error
Mathematical Tools
- Statistics
- Upper Undergraduate
- Graduate/Professional
- Instructional Material
= Interactive 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:
Larry Englehardt
Merlot:
pending
Record Cloner:
Metadata instance created November 12, 2011 by Wolfgang Christian
Record Updated:
June 10, 2014 by Andreu Glasmann
Last Update
when Cataloged:
November 12, 2011
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
L. Engelhardt, Computer Program LEVENBERG-MARQUARDT FITTING OF NUCLEAR DECAY MODEL, Version 1.0 (2011), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11537&DocID=2457).
AJP/PRST-PER
L. Engelhardt, Computer Program LEVENBERG-MARQUARDT FITTING OF NUCLEAR DECAY MODEL, Version 1.0 (2011), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11537&DocID=2457>.
APA Format
Engelhardt, L. (2011). Levenberg-Marquardt Fitting of Nuclear Decay Model (Version 1.0) [Computer software]. Retrieved November 28, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11537&DocID=2457
Chicago Format
Engelhardt, Larry. "Levenberg-Marquardt Fitting of Nuclear Decay Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11537&DocID=2457 (accessed 28 November 2014).
MLA Format
Engelhardt, Larry. Levenberg-Marquardt Fitting of Nuclear Decay Model. Vers. 1.0. Computer software. 2011. Java 1.5. 28 Nov. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11537&DocID=2457>.
BibTeX Export Format
@misc{ Author = "Larry Engelhardt", Title = {Levenberg-Marquardt Fitting of Nuclear Decay Model}, Month = {November}, Year = {2011} }
Refer Export Format

%A Larry Engelhardt
%T Levenberg-Marquardt Fitting of Nuclear Decay Model
%D November 12, 2011
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11537&DocID=2457
%O 1.0
%O application/java

EndNote Export Format

%0 Computer Program
%A Engelhardt, Larry
%D November 12, 2011
%T Levenberg-Marquardt Fitting of Nuclear Decay Model
%7 1.0
%8 November 12, 2011
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11537&DocID=2457


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Levenberg-Marquardt Fitting of Nuclear Decay 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 Levenberg-Marquardt Fitting of Nuclear Decay Model.

relation by Wolfgang Christian

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