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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 …
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 …
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 …
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 …