The PDE

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Thu, 10/24/2013 - 12:29 pm

Hello,
please can you help me,
i would like to solve a PDE(Partial Differenzial Equations) with 2 variables in Igor Pro.
i use the numerical method of this kind of equation to simplify myself by programming but i don't know how to use at the same moment the variables x and t.

the fonction is follow after the application of numerical method:

f(i,m+1)=f(i,m)+4*(f(i-1,m+1)-f(i,m+1)+f(i+1,m+1))

x=n*i, t=n*m

i thank You in advance for the Help.

bella
Hello !
how can i slve a PDE(Partial Differential Equation) in Igor or are there a fonction which solve this kind of function?
Thanks
Bella

November 22, 2013 at 05:11 am - Permalink

Igor has an ODE solver, see the operation IntegrateODE. We do not have a PDE solver. There are entire applications devoted to the complexities of Finite Element methods to do numerical solutions of PDEs. They are large and usually very expensive, although there are a couple freeware applications or libraries. It is a very large topic.

One of the freeware solutions I am aware of is called FEnICS (http://fenicsproject.org/). My physicist daughter spent much of this past summer struggling to learn how to use it.

John Weeks
WaveMetrics, Inc.
support@wavemetrics.com

November 22, 2013 at 09:22 am - Permalink