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Computer Program Detail Page

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written by Wolfgang Christian and Francisco Esquembre
The ODE Direction Field Plotter Model shows a graphical representation of the solutions to a first-order differential equation dx/dt=f(x,t) by plotting a grid of line segments with components that show the rate of change of the solution x(t) at each gridpoint.  This slope field visualization uses normalized line segments to provide a qualitatively feel for the solution geometry.  The solution curves can be sketched by connecting adjacent line segments. Clicking on an (x,t) point shows the exact solution starting at that point.

The ODE Direction Field Plotter Model was developed using the Easy Java Simulations (EJS) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.   Double clicking the 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 map and selecting "Open Ejs Model" from the pop-up menu item.

Please note that this resource requires at least version 1.6 of Java (JRE).
View the source code document attached to this resource
Subjects Levels Resource Types
Mathematical Tools
- Differential Equations
- Lower Undergraduate
- Upper Undergraduate
- Instructional Material
= Interactive Simulation
= Model
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:
Wolfgang Christian
Keywords:
flow field, phase space
Record Cloner:
Metadata instance created April 15, 2012 by Wolfgang Christian
Record Updated:
June 11, 2014 by Andreu Glasmann
Last Update
when Cataloged:
April 14, 2012
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
W. Christian and F. Esquembre, Computer Program ODE DIRECTION FIELD PLOTTER MODEL (2012), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11784&DocID=2640).
AJP/PRST-PER
W. Christian and F. Esquembre, Computer Program ODE DIRECTION FIELD PLOTTER MODEL (2012), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11784&DocID=2640>.
APA Format
Christian, W., & Esquembre, F. (2012). ODE Direction Field Plotter Model [Computer software]. Retrieved September 22, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11784&DocID=2640
Chicago Format
Christian, Wolfgang, and Francisco Esquembre. "ODE Direction Field Plotter Model." http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11784&DocID=2640 (accessed 22 September 2014).
MLA Format
Christian, Wolfgang, and Francisco Esquembre. ODE Direction Field Plotter Model. Computer software. 2012. Java (JRE) 1.6. 22 Sep. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11784&DocID=2640>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian and Francisco Esquembre", Title = {ODE Direction Field Plotter Model}, Month = {April}, Year = {2012} }
Refer Export Format

%A Wolfgang Christian
%A Francisco Esquembre
%T ODE Direction Field Plotter Model
%D April 14, 2012
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11784&DocID=2640
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%A Esquembre, Francisco
%D April 14, 2012
%T ODE Direction Field Plotter Model
%8 April 14, 2012
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11784&DocID=2640


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.

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ODE Direction Field Plotter 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 Direction Field Plotter Model.

relation by Wolfgang Christian

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