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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 …
ConfuzzledStudent's user avatar
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 …
ConfuzzledStudent's user avatar
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 …
ConfuzzledStudent's user avatar
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, \[ …
ConfuzzledStudent's user avatar