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Source code for solving second order ODE/PDE using PINN
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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
回答（1 个）
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))
3 个评论
Akhil Kumar
2024-8-18
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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2024-8-18
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