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

7 vues (au cours des 30 derniers jours)
Ollie Bardsley
Ollie Bardsley le 20 Juil 2021
Commenté : Peifeng Su le 10 Mai 2023
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!!

Réponses (1)

Tanmay Das
Tanmay Das le 15 Sep 2021
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 commentaire
Peifeng Su
Peifeng Su le 10 Mai 2023
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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