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

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Ollie Bardsley
Ollie Bardsley 2021년 7월 20일
댓글: Peifeng Su 2023년 5월 10일
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!!

답변 (1개)

Tanmay Das
Tanmay Das 2021년 9월 15일
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
  댓글 수: 1
Peifeng Su
Peifeng Su 2023년 5월 10일
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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