2 papers
math.NA2026
A Fractional-Memory Physics-Informed Neural Network with Fast History Compression for Tempered Fractional Coupled Phase-Field Systems
Shubham Kumar, Himanshu Kumar Dwivedi, Matthias Ehrhardt +1
Tempered time-fractional coupled phase-field (tTFCP) systems are used to model interfacial phenomena involving memory-dependent transport and relaxation mechanisms. Numerical solut…
math.NA2026
Alikhanov-XfPINNs: Adaptive Physics-Informed Learning for Nonlinear Fractional PDEs on Nonuniform Meshes
Himanshu Kumar Dwivedi, Matthias Ehrhardt, Rajeev
To address the initial singularity inherent in solutions to fractional partial differential equations (fPDEs), we propose an accelerated Alikhanov discretization formulation implem…