most citedSolving the Initial Value Problem of Ordinary Differential Equations by Lie Group based Neural Network Method

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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…