Alikhanov-XfPINNs integrates accelerated Alikhanov discretization on nonuniform time grids with physics-informed neural networks to solve general nonlinear fractional PDEs for both forward and inverse problems with improved efficiency and handling of initial singularities.
Kern, Numerical methods for inverse problems, Wiley, Hoboken (2016)
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Alikhanov-XfPINNs: Adaptive Physics-Informed Learning for Nonlinear Fractional PDEs on Nonuniform Meshes
Alikhanov-XfPINNs integrates accelerated Alikhanov discretization on nonuniform time grids with physics-informed neural networks to solve general nonlinear fractional PDEs for both forward and inverse problems with improved efficiency and handling of initial singularities.