- #1
AndersFK
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I'm trying to find an analytical solution (probably containing a convolution integral) to a 2D diffusion problem in the xy-plane, when the value h(t) at the origin is known for all times t>=0. The diffusion constant is the same everywhere.
The last problem solved under the section http://en.wikipedia.org/wiki/Heat_equation#Homogeneous_heat_equation solves a similar problem for a semi-infinite 1D case. I've tried to expand their solution to the 2D case, but no luck so far.
Any comments/suggestions would be greatly appreciated.
The last problem solved under the section http://en.wikipedia.org/wiki/Heat_equation#Homogeneous_heat_equation solves a similar problem for a semi-infinite 1D case. I've tried to expand their solution to the 2D case, but no luck so far.
Any comments/suggestions would be greatly appreciated.