Violation of Neumann Problem’s Solvability Condition for Poisson Equation, Involved in the Non-Linear PDEs, Containing the Reaction-Diffusion-Convection-Type Equation, at Numerical Solution by Direct Method

Violation of Neumann Problem’s Solvability Condition for Poisson Equation, Involved in the Non-Linear PDEs, Containing the Reaction-Diffusion-Convection-Type Equation, at Numerical Solution by Direct Method

In this paper, we consider the 3D problem of laser-induced semiconductor plasma generation under the action of the optical pulse, which is governed by the set of coupled time-dependent non-linear PDEs involving the Poisson equation with Neumann boundary conditions. The main feature of this problem i...

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Bibliographic Details
Main Authors: Vyacheslav Trofimov, Maria Loginova, Vladimir Egorenkov, Yongqiang Yang, Zhongwei Yan
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Mathematics
Subjects:
3D partial differential equations
Neumann problem solvability
conservative finite-difference scheme
iteration method
direct method
inhomogeneous boundary conditions
Online Access:https://www.mdpi.com/2227-7390/11/11/2567

Internet

https://www.mdpi.com/2227-7390/11/11/2567

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