Source code for solving second order ODE/PDE using PINN

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

Answer 1

[Torsten]

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 = 

[Akhil Kumar]

Hi

Thanks for the reply.

However, I am using Physics Aware Neural Network (PINN) for solving PDE/ODE.

A bit annoying how to introduce IC here.

[Torsten]

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

[Sam Chak]

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.