A boundary-only holomorphic KAN framework solves Laplace, Helmholtz, and elasticity problems on simply and multiply connected 2D domains, outperforming standard PINNs in the tested cases.
Neural algorithm for solving differential equations.Journal of Computational Physics, 91(1):110–131, 11 1990
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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains
A boundary-only holomorphic KAN framework solves Laplace, Helmholtz, and elasticity problems on simply and multiply connected 2D domains, outperforming standard PINNs in the tested cases.