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

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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…