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I want to solve the following diffusion equation:

(d/dt) C(r,z,t)=D*∇^2 C(r,z,t)

where C is the concentartion and D is the coefficient of diffusivity (constant)

with initial condition C(r,z,0)=C0 (constant)

and boundary condition dc/dr=0 at r=0; (dc/dz) at z=-L equal to (dc/dz) at z=L

where I have considered axisymmetric tube of length L.

Can anybody help to solve the above mentioned problem for the concentration C?

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# Solution of diffusion equation with three independent variable (r,z,t)

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