[R] Diffusion of particles inside a sphere

Ravi Varadhan rvaradhan at jhmi.edu
Thu Oct 22 16:37:51 CEST 2009


You need to be a lot more specific about what you want.  Are you trying to solve a partial differential equation (PDE) in time and space, in spherical coordinates?  Do you have a closed form solution that provides the values of the dependent variable (e.g. concentration or temperature) as a function of time and location? If so, it is  a simple matter of writing an R function to compute that and plot the results or do whatever you want to do with the result.  If there is no closed form solution to the PDE, then you have to solve it numerically using finite-differencing coupled with a time-marching scheme such as Euler's or Runge-Kutta schemes.  

Hope this helps,


Ravi Varadhan, Ph.D.
Assistant Professor,
Division of Geriatric Medicine and Gerontology
School of Medicine
Johns Hopkins University

Ph. (410) 502-2619
email: rvaradhan at jhmi.edu

----- Original Message -----
From: carferper at alum.us.es
Date: Thursday, October 22, 2009 9:45 am
Subject: [R] Diffusion of particles inside a sphere
To: r-help at r-project.org

> Hello veryone,
> I am interested in the diffusion of particles inside a sphere, and its 
> release through a small pore on the sphere surface. Unfortunately, I 
> have not found the way to do this in R. Could you help me?
> Thank very much in advance for your help
> ______________________________________________
> R-help at r-project.org mailing list
> PLEASE do read the posting guide 
> and provide commented, minimal, self-contained, reproducible code.

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