# Laplace in spherical coordinates

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 December 3, 2007, 14:12 Laplace in spherical coordinates #1 Harini Guest   Posts: n/a I need to solve a diffusion equation in Spherical coordinates. Can somebody help me with discretisation in each coordinates. Harini

 December 4, 2007, 10:30 Re: Laplace in spherical coordinates #2 CycLone Guest   Posts: n/a Why do you need to solve it in spherical coordinates?

 December 6, 2007, 17:35 Re: Laplace in spherical coordinates #3 Dr_D Guest   Posts: n/a 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

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