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Pattern formation and KPP equation

by Xin-She Yang

 

15 Dec 2010

Solve KPP equation by finite difference method to generate 2D patterns.

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Description

This 15-line matlab program solves the nonlinear reaction
diffusion equation, called Kolmogorov-Petrovskii-Piskunov
(KPP) equation to generate patterns (ribbons and rings).
The numerical method is simple and program is easy to
understand, and it can be extended to simulated
more complex systems. The snapshot was generated by pattern(400);

MATLAB release MATLAB 6.0 (R12)
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Comments and Ratings (2)
13 Jun 2011 Ben Petschel

Very nice! Could you recommend any free web resources on the subject?

13 Jun 2011 Xin-She Yang

Thanks. Here is a link to the web site on pattern formation by Prof. Michael Cross
http://crossgroup.caltech.edu/Patterns/SwiftHohenberg.html
which has a few excellent Java demos.

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Tag Activity for this File
Tag Applied By Date/Time
mathematics Xin-She Yang 15 Dec 2010 15:05:40
image processing Xin-She Yang 15 Dec 2010 15:05:40
signal processing Xin-She Yang 15 Dec 2010 15:05:40
demo Xin-She Yang 15 Dec 2010 15:05:40
modeling Xin-She Yang 15 Dec 2010 15:05:40

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