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Oct, 2023
HNS: 解决时间分数阶偏微分方程的高效Hermite神经求解器
HNS: An Efficient Hermite Neural Solver for Solving Time-Fractional Partial Differential Equations
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Jie Hou, Zhiying Ma, Shihui Ying, Ying Li
TL;DR
基于高阶Hermite插值和深度神经网络的高精度Hermite Neural Solver(HNS)用于解决时间分数阶偏微分方程,取得较L1插值近似方法更高的准确性和灵活性。
Abstract
neural network solvers
represent an innovative and promising approach for tackling
time-fractional partial differential equations
by utilizing deep learning techniques.
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