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Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.

1 vote
0 answers
431 views

Applying Dirichlet and Neumann Boundary Condition for DSolve and NDSolve not computing [closed]

I'm interesting in solving this problem where I have a Dirichlet boundary condition at $\ x=0, u(x)=1$ and a Neumann boundary condition where at $\ x=25, du/dx=0$ I was able to get it to work when h …
AhWee's user avatar
  • 123
7 votes
2 answers
365 views

DSolve and NDSolve plots are different

I'm trying to solve for a steady state Fick's second law equation with a simple reaction term. However, when I compare both DSolve and NDSolve they both give very different plots. Why is that? I …
AhWee's user avatar
  • 123
2 votes
3 answers
416 views

Using DSolve and NDSolve for 1D steady-state diffusion equation with a reaction term

I am trying to solve for a 1D steady-state diffusion equation (Fick's Second Law/Heat Equation) with a reaction term. I wanted to compare using both DSolve and NDSolve. However, when running the code …
AhWee's user avatar
  • 123
2 votes
1 answer
410 views

Receptor/Ligand Diffusion Michaelis Menten Equation

I'm trying to model the diffusion of a ligand that is binding to a receptor (similar to the enzyme substrate model) where the reaction is I tried using this question as a reference. I'm mainly intere …
AhWee's user avatar
  • 123