- #1
mabiondi
- 2
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Hello everybody.
I should solve a modified version of second Fick's law in nondimensional spherical coordinates; t is the time and rho [0,1] the nondimensional radius. In this equation the diffusion coefficient is vraiable with t and rho.
The equation is the following:
dC/dt = (1/rho^2)*d/d(rho)(rho^2*D(rho,t)*dC/d(rho))
Initial conditions:
C(0,rho) = a*rho^4 + b*rho^2 -(a + b);
Boundary conditions:
dC(t,0)/d(rho) = 0
C(t,1) = 0
Is it possible to solve such an equation by Laplace transforms?
Alternatively, is there a user friendly tool for numerical solution of a PDE like this?
Thanks in advance, cheers.
Marco
I should solve a modified version of second Fick's law in nondimensional spherical coordinates; t is the time and rho [0,1] the nondimensional radius. In this equation the diffusion coefficient is vraiable with t and rho.
The equation is the following:
dC/dt = (1/rho^2)*d/d(rho)(rho^2*D(rho,t)*dC/d(rho))
Initial conditions:
C(0,rho) = a*rho^4 + b*rho^2 -(a + b);
Boundary conditions:
dC(t,0)/d(rho) = 0
C(t,1) = 0
Is it possible to solve such an equation by Laplace transforms?
Alternatively, is there a user friendly tool for numerical solution of a PDE like this?
Thanks in advance, cheers.
Marco