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Preprint Sep 2026

Hard-Constrained Physics--Informed Neural Network with Adaptive Regional Residual Balancing for the Generalized Falkner--Skan Problem

We present a physics--informed neural solver for the generalized Falkner--Skan boundary-value problem that combines an exact boundary--admissible trial representation with adaptive regional residual balancing (ARRB). The three prescribed boundary conditions are embedded analytically, eliminating boundary-condition pena...

Mehari Fentahun Endalew, X. Zhang · 0 citations
Open access Sep 2026

Computational analysis of shear dependent heat and mass transfer in MHD hybrid nanofluid within a porous medium

This work numerically investigates enhanced thermal and mass diffusion in an ionized hybrid nanofluid flowing through a permeable medium. The model incorporates modified formulations of thermal and molecular diffusion to address the limitations of their classical counterparts, accounting for non-local and relaxation ef...

Mehari Fentahun Endalew, X. Zhang · 0 citations
#machine learning Preprint Aug 2026

Adaptive Physics-Informed Neural Networks for the Blasius Boundary-Layer Problem

Physics-informed neural networks (PINNs) provide a mesh-free approach for solving differential equations, but their performance can depend strongly on loss weighting, collocation placement, and optimization strategy. This study develops an adaptive PINN framework for the Blasius boundary-layer equation using gradient-n...

Mehari Fentahun Endalew, X. Zhang · 0 citations

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