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!!

Answers (1)

Tanmay Das
Tanmay Das on 15 Sep 2021
You can use the following rule to solve the Nerst-Plank equation and reduce it to a form required by PDE toolbox.
Divergence rule

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