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1 dimensional diffusion example

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Old   December 10, 2012, 11:34
Default 1 dimensional diffusion example
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sci
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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?
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Old   December 10, 2012, 15:25
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You are probably looking for a Green's function solution: http://en.wikipedia.org/wiki/Heat_eq...olutions_in_1D
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Old   December 10, 2012, 18:02
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Quote:
Originally Posted by sci View Post
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?
Check it http://cfdosc.wordpress.com/2012/12/...heat-equation/
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