Source code for solving second order ODE/PDE using PINN

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Akhil Kumar 2024-8-18

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评论： Sam Chak 2024-8-19

Hi

Can someone share the matlab source code for solving second order ODE of the type as below?

I could build a sample code using : https://uk.mathworks.com/help/deeplearning/ug/solve-partial-differential-equations-with-lbfgs-method-and-deep-learning.html#responsive_offcanvas

But, I am not sure how to input the IC of the form d/dx() in the code.

All help will be appreciated.

Thanks

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Torsten 2024-8-18

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移动：Torsten 2024-8-18

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Why do you want to use code for partial differential equations if you have an ordinary differential equation to solve ?

syms psi(x)

eqn = diff(psi,x,2)+0.2*diff(psi,x)+psi+0.2*exp(-0.2*x)*cos(x) == 0;

Dpsi = diff(psi,x);

conds = [psi(0)==0,Dpsi(0)==0];

simplify(dsolve(eqn,conds))

ans =

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Torsten 2024-8-18

Yes, it's possible to open a bottle with a sledgehammer - but should we do it only because it's possible ?

Sam Chak 2024-8-19

It is likely that the OP was given a research direction by his supervisor to start working on Physics-Informed Neural Networks (PINNs), as this is a trending AI topic that may enhance the chances of publication acceptance. If the results from the PINN approach are promising, the supervisor may then address more significant engineering problems.

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