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math.DS2022
Application of Lie Group-based Neural Network Method to Nonlinear Dynamical Systems
Ying Wen, Temuer Chaolu
In this paper, a Lie group-based neural network method is proposed for solving initial value problems of non linear dynamics. Due to its single-layer structure (MLP), the approach…
math.NA2022★ 21 cited
Solving the Initial Value Problem of Ordinary Differential Equations by Lie Group based Neural Network Method
Ying Wen, Temuer Chaolu, Xiangsheng Wang
To combine a feedforward neural network (FNN) and Lie group (symmetry) theory of differential equations (DEs), an alternative artificial NN approach is proposed to solve the initia…