Questions tagged [pdepe]
The pdepe tag has no usage guidance.
5
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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
0
votes
1
answer
115
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How do I use pdepe for a first order parabolic PDE with only one boundary condition?
I am trying to use Matlab's pdepe.m to solve the first order parabolic PDE
$$\frac{\partial u}{\partial x}+\frac{\partial u}{\partial x}=x$$
I have not had trouble coding the argument of pdepe @pdefun:...
-1
votes
1
answer
354
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Simulating 1D diffusion
I'm trying to understand the influence of Neumann boundary condition while simulating 1D diffusion equation
$$
\frac{\partial C}{\partial t} = \nabla \cdot (D \nabla C).
$$
The initial value is set ...
- 491
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
5
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2
answers
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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