Does pdepe accept 'Vectorized', 'on' as an option? If so, what does it do?
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I am writing a code that uses pdepe. It would be easy to write the pdefun in vectorized form. That is, if there are N variables and M position points, if the position x is input as a vector, then c, f, and s would be output as NxM arrays. It seems like this would be more efficient than only allowing x to be a scalar. However, odeset does have a "Vectorized" option. Does this option apply to pdepe? If so, what does it do? Does it allow the input variable x to be a vector rather than a scalar?
Thanks for your help!
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Torsten
2024-6-25
编辑:Torsten
2024-6-25
If you look into the documentation for "pdepe", you will find that the "Vectorized" option cannot be chosen:
Cited from the documentation of "pdepe":
options — Option structure
structure array
Option structure, specified as a structure array. Use the odeset function to create or modify the option structure. pdepe supports these options:
In most cases, default values for these options provide satisfactory solutions.
If I remember correctly, this variant of "pdepe" has the choice to vectorize the calls to the function where you provide c, s and f:
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Bill Greene
2024-6-26
Yes, pde1dm provides a "Vectorized=on" option that can substantially improve performance for refined meshes. I don't know why pdepe does not also support this. (There are several other ode15s options that could also be supported by pdepe but, unfortunately, are not.)
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