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HomPINNs: Homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions

Haoyang Zheng, Yao Huang, Ziyang Huang, Wenrui Hao, Guang Lin

2024Journal of Computational Physics29 citationsDOIOpen Access PDF

Topics & Concepts

HomotopyHomotopy analysis methodNonlinear systemArtificial neural networkInverse problemUniquenessInversePartial differential equationComputer scienceApplied mathematicsMathematicsArtificial intelligenceMathematical analysisPhysicsPure mathematicsGeometryQuantum mechanicsModel Reduction and Neural NetworksFluid Dynamics and Turbulent FlowsMagnetic Properties and Applications
HomPINNs: Homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions | Litcius