Legendre Neural Network Method for Several Classes of Singularly Perturbed Differential Equations Based on Mapping and Piecewise Optimization Technology
Hongliang Liu, Baixue Xing, Zhen Wang, Lijuan Li
Topics & Concepts
PiecewiseLegendre polynomialsArtificial neural networkMathematicsPiecewise linear functionApplied mathematicsBoundary value problemDifferential equationNonlinear systemMathematical optimizationAlgorithmComputer scienceMathematical analysisArtificial intelligencePhysicsQuantum mechanicsDifferential Equations and Numerical MethodsFractional Differential Equations SolutionsModel Reduction and Neural Networks