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Topic: solve partial differential equations with mathematica
Replies: 1   Last Post: Jan 29, 2010 7:44 AM

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dinodeblasio@gmail.com

Posts: 23
Registered: 10/14/07
solve partial differential equations with mathematica
Posted: Jan 26, 2010 6:27 AM
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Hello,
I'd like to solve the following partial differential equation with
Mathematica,

eqn = D[u[r, t], t] == d D[u[r, t], r, r] - k u[r, t]/r

by doing:

DSolve[{eqn, u[r, 0] == 0, u[0.000000001, t] == ui, u[\[Infinity], t]
== 0}, u[r, t], {r, t}]

d,k and ui are constants.

In DSolve i include also the boundary conditions but I am still not
able to solve it.
Do you have any suggestions for solving the problem?
Thanks very much for your help.
Dino.




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