DAE-KAN, a dual-network KAN-PINN, is reported to solve index-1 through index-3 differential-algebraic equations with one to two orders of magnitude lower error than MLP-based PINNs on two benchmark problems.
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DAE-KAN: A Kolmogorov-Arnold Network Model for High-Index Differential-Algebraic Equations
DAE-KAN, a dual-network KAN-PINN, is reported to solve index-1 through index-3 differential-algebraic equations with one to two orders of magnitude lower error than MLP-based PINNs on two benchmark problems.