Questions tagged [pdepe]
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3
questions
5
votes
2
answers
226
views
Effect of mesh size on solution curves for a 1D problem
I'm interested in studying the effect of mesh size on the behavior of the solution curves of 1D convection-diffusion problem.
$$\frac{\partial C}{\partial t} = D\frac{\partial ^2 C}{\partial x^2} - ...
- 491
3
votes
0
answers
135
views
Form of nonlinear diffusion equation
Consider the following nonlinear diffusion problem,
$$
\frac{\partial u}{\partial t} = x^{-2}\frac{\partial}{\partial x}\left(x^2 u^4 \frac{\partial u}{\partial x}\right), \quad 0 < x < 1
$$
We ...
- 454
3
votes
1
answer
790
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Question on how MATLAB's pdepe solver works
I'm solving the following 1D transport equation in MATLAB's pdepe solver.
$$\frac{\partial C}{\partial t} = D\frac{\partial ^2 C}{\partial x^2}-v\frac{\partial C}{\partial x}$$
At the inlet (left ...
- 491