Mathematical Modeling on a Physics-Informed Radial Basis Function Network
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- Chih-Yu Liu & Cheng-Yu Ku, 2023. "A Novel ANN-Based Radial Basis Function Collocation Method for Solving Elliptic Boundary Value Problems," Mathematics, MDPI, vol. 11(18), pages 1-19, September.
- Zhixiang Liu & Yuanji Chen & Ge Song & Wei Song & Jingxiang Xu, 2023. "Combination of Physics-Informed Neural Networks and Single-Relaxation-Time Lattice Boltzmann Method for Solving Inverse Problems in Fluid Mechanics," Mathematics, MDPI, vol. 11(19), pages 1-29, October.
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Keywords
physics-informed neural networks; partial differential equations; boundary value problem; inverse problems; radial basis function networks; neural network learning; Nesterov method; Levenberg-Marquardt method;All these keywords.
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