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Updated: Jun 29, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
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The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

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对于可整的非局部方程,PT-对称PINN:前向和反向问题

Wei-Qi Peng1, Yong Chen1,2

  • 1School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai 200241, People's Republic of China.

Chaos (Woodbury, N.Y.)
|April 5, 2024
PubMed
概括

一种新方法,PT-对称半监督神经网络 (PTS-PINN),有效地解决PT-对称非局部方程. 这种方法通过将非本地术语视为本地组件并将物理信息嵌入到损失函数中来提高准确性.

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The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
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The Laplace transform is an indispensable mathematical technique for simplifying the resolution of differential equations by converting them into more manageable algebraic expressions. The Laplace transform of a function is denoted by L[x(t)], where x(t) is the time-domain function. The laplace transform is mathematically expressed as
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In the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal stress distributions, which are essential for structural design. When subjected to couples, a prismatic member experiences internal forces that maintain equilibrium. A couple, characterized by two equal and opposite forces, creates a moment but no resultant force. The internal forces at any section cut of the member must balance these external...
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