Neural networks have emerged as powerful tools for modeling complex physical systems.
A novel architecture, called Hybrid Parallel Kolmogorov-Arnold Network (KAN) and Multi-Layer Perceptron (MLP) Physics-Informed Neural Network (HPKM-PINN) has been proposed.
HPKM-PINN combines the strengths of KAN's interpretable function approximation and MLP's nonlinear feature learning for enhanced predictive performance.
Benchmark experiments show that HPKM-PINN significantly reduces loss values compared to standalone KAN or MLP models in solving partial differential equations (PDEs).