How to solve coupled systems of PDEs and ODEs using method of lines

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Sachin Hegde 2023-7-17

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https://ww2.mathworks.cn/matlabcentral/answers/1996903-how-to-solve-coupled-systems-of-pdes-and-odes-using-method-of-lines

评论： Sachin Hegde 2023-7-24

I want to develop an 1D model for PEM fuel cell which includes several PDEs and ODEs. I have read that, it is possible to solve it using method of lines. I would like to get an example code so that i understand the implementation in Matlab

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Answer 1

Torsten 2023-7-17

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https://ww2.mathworks.cn/matlabcentral/answers/1996903-how-to-solve-coupled-systems-of-pdes-and-odes-using-method-of-lines#answer_1274368

编辑：Torsten 2023-7-17

http://www.scholarpedia.org/article/Method_of_lines/example_implementation

https://www.sciencedirect.com/science/article/abs/pii/S1364815203002111

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Torsten 2023-7-24

Is it possible to solve multipoint boundary problems using MOL (i have regions with different propoerties)?

Including your problem in its mathematical formulation would make it possible for me to answer your question.

Sachin Hegde 2023-7-24

PDE-ODE system.pdf

Hi Torsten. I have attached a pdf which includes the system i am trying to solve. To summerise, it is a system of PDEs and ODEs. The system consists of several regions that are joined together (see the figure in the pdf) and each region has different physical properties however the governing equation remains the same. The boundary conditions are provided at the intersection of each region. I am struggling to implement this in matlab. I kindly ask your support and i thank you in advance.

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