with pdepe, how to solve coupled ode-pde with ode citing pde's BC

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Rui 2013-10-4

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评论： Rui 2013-11-2

Hi everyone,

I have coupled pde-ode equations, where pde's one boundary condition is ode's input parameter. I want to write both equations as PDE so that I can use pdepe, but cannot figure out how to get boundary condition of pde and pass that to ode in pdefun. Could anyone tell me how to code it in order to use pdepe? Thanks!

for example, on x from 0 to 1, i have

dC1/dt = d^2 C1 / d x^2

dC2/dt = C2 - C1(x = 1)

pde's BC : dC1/dx = C1(x=1) - C2

best, Rui

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Bill Greene 2013-10-5

Hi,

Let me ask a couple of questions first. In the line: pde's BC : dC1/dx = C1(x=1) - C2 is this the BC at x=1? That is, are dC1/dx and C2 both values at x=1? Since, the equation for C1 is second-order, you also need a BC at x=0. What is that?

Bill

Rui 2013-11-2