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Solving Boundary Value Problem in 2D

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Saeid
Saeid 2017-11-23
编辑： Torsten 2017-11-24
I am trying to solve the 2D boundary value problem (energy equation for non-isothermal flow of non-newtonian fluids) inside a channel with rectangular cross-section. One version of that equation looks e.g. like this: a.dT/dx=d^2T/dy^2+b.exp(-T) Do the existing capabilities of Matlab offer a way for solving a BVP of this type without programming a finite difference code?

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Torsten
Torsten 2017-11-23
Interpret x as time(t) and y as length(x) and use MATLAB's "pdepe".
Best wishes
Torsten.
  2 个评论
Saeid
Saeid 2017-11-23
Danke Torsten. I didn't know that such function exists. Is there a chance you have some examples that you can share? Saeid
Torsten
Torsten 2017-11-24
编辑：Torsten 2017-11-24
Here are some examples:
https://de.mathworks.com/help/matlab/ref/pdepe.html#f93-998895
Maybe the MATLAB documentation contains some more.
Best wishes
Torsten.

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