How is pdepe solving?

Question

Deniz 2013-11-22

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链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/107173-how-is-pdepe-solving

回答： Bill Greene 2013-11-22

Hello,

for my Bachelorthesis i am using pdepe to solve the diffusion equation. But i have to explain too the way HOW pdepe is solving the partial differential equation (numerical? analytical?). Can someone give me a link where there are a few sentences explained to the way pdepe is solving?

In this link i couldn't find the explanation: http://www.mathworks.de/de/help/matlab/ref/pdepe.html

Thanks for your help

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Answer 1

Bill Greene 2013-11-22

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/107173-how-is-pdepe-solving#answer_116031

At the very bottom of the www page you show above is this reference:

1] Skeel, R. D. and M. Berzins, "A Method for the Spatial Discretization of Parabolic Equations in One Space Variable," SIAM Journal on Scientific and Statistical Computing, Vol. 11, 1990, pp.1–32.

That paper describes the approach used in pdepe.

Bill