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An improved physics-informed neural network with adaptive weighting and mixed differentiation for solving the incompressible Navier–Stokes equations

Jie Wang, Xufeng Xiao, Xinlong Feng, Hui Xu

2024Nonlinear Dynamics33 citationsDOIOpen Access PDF

Topics & Concepts

WeightingArtificial neural networkPartial differential equationNavier–Stokes equationsNonlinear systemMathematicsCompressibilityApplied mathematicsMathematical optimizationGaussianComputer scienceMathematical analysisArtificial intelligencePhysicsAcousticsQuantum mechanicsThermodynamicsModel Reduction and Neural NetworksFluid Dynamics and Turbulent FlowsNanofluid Flow and Heat Transfer
An improved physics-informed neural network with adaptive weighting and mixed differentiation for solving the incompressible Navier–Stokes equations | Litcius