pinn_forward.rst

Demos of Forward Problems

Here are some demos of solving forward problems of PDEs.

ODEs

pinn_forward/ode.system pinn_forward/lotka.volterra pinn_forward/ode.2nd

Time-independent PDEs

pinn_forward/poisson.1d.dirichlet pinn_forward/poisson.1d.neumanndirichlet pinn_forward/poisson.1d.dirichletrobin pinn_forward/poisson.1d.dirichletperiodic pinn_forward/poisson.1d.pointsetoperator pinn_forward/poisson.dirichlet.1d.exactbc pinn_forward/poisson.1d.multiscaleFourier pinn_forward/poisson.Lshape pinn_forward/laplace.disk pinn_forward/eulerbeam pinn_forward/elasticity.plate pinn_forward/helmholtz.2d.dirichlet pinn_forward/helmholtz.2d.dirichlet.hpo pinn_forward/helmholtz.2d.neumann.hole pinn_forward/helmholtz.2d.sound.hard.abc pinn_forward/Kovasznay.flow

Time-dependent PDEs

pinn_forward/burgers pinn_forward/heat pinn_forward/heat.resample pinn_forward/diffusion.1d pinn_forward/diffusion.1d.exactBC pinn_forward/diffusion.1d.resample pinn_forward/diffusion.reaction pinn_forward/burgers.rar pinn_forward/allen.cahn pinn_forward/klein.gordon

• Beltrami flow
• Wave propagation with spatio-temporal multi-scale Fourier feature architecture
• Schrodinger equation

Integro-differential equations

• Integro-differential equation
• Volterra IDE

Fractional PDEs

• Fractional Poisson equation in 1D
• Fractional Poisson equation in 2D
• Fractional Poisson equation in 3D
• Fractional diffusion equation