How to solve diffusion equation in spherical coordinate using Matlab?
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PDE toolbox in Matlab expects the equations in Cartesian coordinate. In this page it says what the general shape of the equations should be: https://nl.mathworks.com/help/pde/pde-coefficients.html
that is:
![](https://i.stack.imgur.com/8CZBs.png)
I want to solve the diffusion equations:
![](https://i.stack.imgur.com/1NWUU.png)
Thus, in my case m, a, and f are zero. If we are in Cartesian coordinate then d is one and c, the diffusion constant, is for example 0.001. However, I want to solve the equations in spherical coordinates. Here is a link to Laplacian in spherical coordinate:
How can I solve the diffusion equation in the spherical coordinates in Matlab? or How can I determine the matrix of coefficienct "c" in spherical coordinates?
5 commentaires
Rohit Jain
le 3 Oct 2023
Hello,
Did you find a solution to your problem? I am working with a similar problem, could you please share something if that's possible?
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