Search Results for author: Zhiying Ma

Found 2 papers, 1 papers with code

HNS: An Efficient Hermite Neural Solver for Solving Time-Fractional Partial Differential Equations

1 code implementation7 Oct 2023 Jie Hou, Zhiying Ma, Shihui Ying, Ying Li

However, we have discovered that neural network solvers based on L1 interpolation approximation are unable to fully exploit the benefits of neural networks, and the accuracy of these models is constrained to interpolation errors.

PMNN:Physical Model-driven Neural Network for solving time-fractional differential equations

no code implementations7 Oct 2023 Zhiying Ma, Jie Hou, Wenhao Zhu, Yaxin Peng, Ying Li

It establishes a temporal iteration scheme based on physical model-driven neural networks which effectively combines deep neural networks (DNNs) with interpolation approximation of fractional derivatives.

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