三维笛卡尔泊松-玻尔兹曼方程的解

Contemporary engineering sciences Pub Date : 2023-01-01 DOI:10.12988/ces.2023.93001

F. Fonseca

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引用次数: 0

摘要

利用tanh、Ricatti函数和Jacobi椭圆孤波方法，求解了1:1电荷组态下的三维泊松-玻尔兹曼方程(PBEq)。此外，我们应用了一种深度学习算法，特别是物理信息神经网络(pinn)，它是在一个名为DeepXDE的Python库中实现的，在分析结果和pinn结果之间找到了很好的一致性。

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A solution of a 3d Cartesian Poisson-Boltzmann equation

We solve the 3d-Cartesian Poisson-Boltzmann equation (PBEq) for a 1 : 1 electric charge conﬁguration, using the tanh, Ricatti functions and Jacobi elliptic solitary wave methods. Also, we apply a deep learning algorithm, speciﬁcally, physics-informed neural networks (PINNs), which is implemented in a Python library known as DeepXDE, ﬁnding good agreement between the analytical and the PINNs results.

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Contemporary engineering sciences

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