Physics Informed by Deep Learning: Numerical Solutions of Modified Korteweg-de Vries Equation
In this paper, with the aid of symbolic computation system Python and based on the deep neural network (DNN), automatic differentiation (AD), and limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) optimization algorithms, we discussed the modified Korteweg-de Vries (mkdv) equation to obtain nu...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2021-01-01
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Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2021/5569645 |