How to solve PDE with two regions

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Jagadeesh Korukonda
Jagadeesh Korukonda 2023 年 1 月 10 日
コメント済み: Torsten 2023 年 1 月 11 日
Suppose I've a PDE which is valid in two regions.
Can we solve this eqns with pdepe solver?

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Torsten
Torsten 2023 年 1 月 10 日
Yes.
Choose "a" as a grid point for pdepe. Then you can solve your system as one partial differential equation for C_B by adding the source term depending on whether z < a or z >= a.
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Jagadeesh Korukonda
Jagadeesh Korukonda 2023 年 1 月 11 日
yes, what I'm asking now is more general case. Can we solve above system with these BC's?
Torsten
Torsten 2023 年 1 月 11 日
Can we solve above system with these BC's?
Not with pdepe.
You will have to discretize your equation and your transmission conditions in space, leave the time derivative in its continuous form and solve the system of ordinary differential equations using ODE15S.
Look up "method of lines" for more details.

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