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sci December 10, 2012 12:34

1 dimensional diffusion example
 
I've written a code for solving diffusion. Now I want to check it by Gaussian distribution as initial condition. Unfortunately I don't know the exact solution for diffusion of Gaussian distribution. does anyone know?:confused:

cdegroot December 10, 2012 16:25

You are probably looking for a Green's function solution: http://en.wikipedia.org/wiki/Heat_eq...olutions_in_1D

noridk_14 December 10, 2012 19:02

Quote:

Originally Posted by sci (Post 396737)
I've written a code for solving diffusion. Now I want to check it by Gaussian distribution as initial condition. Unfortunately I don't know the exact solution for diffusion of Gaussian distribution. does anyone know?:confused:

Check it http://cfdosc.wordpress.com/2012/12/...heat-equation/


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