How do I re-write the Nernst-Planck equation in PDE Toolbox form?

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Hiya, really struggling with re-arranging the Nernst-Planck equation to specify coefficients:
In the form that PDE Toolbox requires:
I understand that:
m = 0
d = 1
f = 0
But besides that I have no idea how to specify co-efficients 'a' and 'c' to form this equation, due to the addition of the electric field component.
Any wisdom much appreciated!!

回答(1 个)

Tanmay Das
Tanmay Das 2021-9-15
Hi,
You can use the following rule to solve the Nerst-Plank equation and reduce it to a form required by PDE toolbox.
Divergence rule
  1 个评论
Peifeng Su
Peifeng Su 2023-5-10
Hi, I also have the same question. Except in my ase, the electrical feild can be regarded as constant
Similarly, i don't understand how to consider the second term in the right side in that form. Can you please explain more about the product rule? Are there part of pdepd function?

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