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Usage of the Finite Element Method embedded in NDSolve and details on the implementation of the fem in mathematica.
2
votes
1
answer
451
views
Discontinuity problem with 3D cylindrical heat equation (possibly due to a conversion betwee...
I have been working a certain type of 3D cylindrical diffusion equation for a bit now. I am trying to simulate a longitudinal diffusion process in a cylinder with a dislocation defect that will make t …
2
votes
2
answers
146
views
Solving 3D heat equation with an off-center boundary condition
So i have this code (albeit a simplified version but it'll do for this question)which solves a time dependant 3D heat equation on a cylinder.
r1 = 0.001;
r2 = 1;
h = 1;
m = 1.5; (*some parameter*)
reg …
3
votes
1
answer
1k
views
Problem with NDSolveValue : "The function value {$Failed} is not a list of numbers with \ di...
I was having fun modifying a code given to me as an answer to a previous problem here, courtesy of user Alex Trounev (Thank you again), when I encountered a certain error which I had never seen before …
3
votes
0
answers
436
views
Problem computing a cylindrical Heat equation with a parameter alpha
i have been struggling to compute a particular instance of cylindrical 3D heat equation.
Here is my code :
(*parameter*)
\[Alpha] = 0.1;
h = 1;
eq = D[u[t, r, \[Theta], z], t] -
D[u[t, r, \[ …