NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS

By STEVEN ROBINSON

Contents 1. Numerical Analysis of the Caputo Fractional Richards Equation Using Yang Transform-Based Hybrid Methods 1 2. Semi-Analytical Solutions of the Schnakenberg Model in a Circularly Symmetric Reaction–Diffusion Annulus 30 3. New Methodology for Nonlinear EHD Interfacial Stability Between Two Electrified Viscoelastic Liquids 45 4. Spatiotemporal Compositional Active Sampling for Physics-Informed Neural Networks 76 5. Gradient-Based Equation Adaptive Weighting in Physics-Informed Neural Networks forWater Hammer Analysis 109