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

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!!

Answer 1

[Tanmay Das]

Hi,

You can use the following rule to solve the Nerst-Plank equation and reduce it to a form required by PDE toolbox.