10 votes
Accepted

Numerically solving radial Schrödinger equation with Yukawa potential

First, I think you have a sign error. The eigenvalues $\gamma^2$ being returned by the code will be proportional to $-E$ for the system, not $E$. This turns out to make a difference in what follows. ...
Michael Seifert's user avatar
5 votes
Accepted

NDSolve ignores my NeumannValue boundary conditions

Your pde problem possesses the following NeumannValue's ...
Ulrich Neumann's user avatar
5 votes
Accepted

Numerical solving diffusion equation in spherical coordinates

Change your boundary conditions to DirichletConditions ...
Ulrich Neumann's user avatar
4 votes

How to mesh a cylinder with helix points?

Another method to achieve helical mesh. ...
azerbajdzan's user avatar
  • 9,903
3 votes

Numerically solving radial Schrödinger equation with Yukawa potential

The problem seems to be, that the exponential decay cannotb be fixed at $x=100$. The minimal eigenvalue decreases with reduction of the interval. Using the physical scaling of the Schrödinge operator <...
Roland F's user avatar
  • 2,887
3 votes
Accepted

Method of lines - Dirichlet and mixed BC

We can solve this problem using FDM and NDSolve as well to compare solutions. First code with FDM implementation ...
Alex Trounev's user avatar
2 votes

Minimal surface bounded between turns of helix

Not an answer, just too big for a comment. I cannot reproduce OP's problems with the "overminimization". With my orignial code from here I get the following results: ...
Henrik Schumacher's user avatar
1 vote

Numerical instability due to convection dominated PDE

Try MethodOfLines ...
Ulrich Neumann's user avatar

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