Physics-informed neural networks combined with polynomial interpolation to solve nonlinear partial differential equations
Siping Tang, Xinlong Feng, Wei Wu, Hui Xu
Topics & Concepts
MathematicsPartial differential equationNonlinear systemInterpolation (computer graphics)Artificial neural networkNumerical partial differential equationsApplied mathematicsHyperbolic partial differential equationPolynomialSeparable partial differential equationFirst-order partial differential equationMathematical analysisDifferential equationComputer scienceDifferential algebraic equationPhysicsOrdinary differential equationArtificial intelligenceMotion (physics)Quantum mechanicsModel Reduction and Neural NetworksFluid Dynamics and Turbulent FlowsNanofluid Flow and Heat Transfer