Struggling to understand PDEPE boundary conditions

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Robert Morhard 2021-7-12

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https://ww2.mathworks.cn/matlabcentral/answers/876948-struggling-to-understand-pdepe-boundary-conditions

评论： Robert Morhard 2021-7-15

Hi all,

I'm new to using MATLAB's PDEPE and I'm struggling to understand the help documentation. I'd like to start out by solving a simple version of Fick's 2nd law and can't seem to make any progress. To start with I'd lke model an initial condition of u(x, 0) = 0 and boundary conditions to be u(0,t) = 1 and u(1,t) = 0 on the interval of 0 ≤x≤1. I'd like to model a 1-D system with no syemmetry (m=0).Eventually I want to specify a more complex initial condition based on some experimental data, but thought I'd start with something simple.

I see the in the help documentation an example function for the boundary conditions and can't seem to figure out what p and q represent or what they're used for. Could anyone point me in the right direction of some resources that describe the meaning of p and q?

Thanks!

Rob