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Physics-informed neural network algorithm for solving forward and inverse problems of variable-order space-fractional advection–diffusion equations

Shupeng Wang, Hui Zhang, Xiaoyun Jiang

2023Neurocomputing49 citationsDOI

Topics & Concepts

Power seriesArtificial neural networkVariable (mathematics)MathematicsPartial differential equationApplied mathematicsFractional calculusSeries (stratigraphy)Function (biology)Operator (biology)Inverse problemMathematical optimizationAlgorithmComputer scienceMathematical analysisPaleontologyRepressorBiologyBiochemistryTranscription factorEvolutionary biologyChemistryMachine learningGeneModel Reduction and Neural NetworksFractional Differential Equations SolutionsNanofluid Flow and Heat Transfer
Physics-informed neural network algorithm for solving forward and inverse problems of variable-order space-fractional advection–diffusion equations | Litcius