Laplace in spherical coordinates
I need to solve a diffusion equation in Spherical coordinates. Can somebody help me with discretisation in each coordinates.
Harini 
Re: Laplace in spherical coordinates
Why do you need to solve it in spherical coordinates?

Re: Laplace in spherical coordinates
Express the (1/r^2) (r^2 f'(r))' term as follows:
(prime stands for a derivative with respect to r) : (1/r^2) (r^2 f'(r))' =3\frac{d}{d r^3}(r^2 f'(r)) Note that this means you are taking a first derivative wrt r^3 and not a third derivative. This is what you need to discretize. Also you can stagger the origin, i.e., take your spatial grid points at (N.5) dr where N=0,1,2...etc 
All times are GMT 4. The time now is 22:34. 