非线性边界条件下热方程的数值求解

Journal of Nonlinear Sciences and Applications Pub Date : 2019-09-11 DOI:10.22436/jnsa.013.01.06

Kouame Beranger Edja, K. A. Touré, Brou Jean-Claude Koua

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引用次数: 3

摘要

本文研究了具有非线性边界条件的热方程半离散化的猝灭行为。得到了半离散问题的正解在有限时间内淬灭的若干条件，并估计了其半离散淬灭时间。建立了半离散淬火时间的收敛性，并得到了数值淬火速率的一些结果。最后给出了一些数值结果来说明我们的分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical quenching of a heat equation with nonlinear boundary conditions

In this paper, we study the quenching behavior of semidiscretizations of the heat equation with nonlinear boundary conditions. We obtain some conditions under which the positive solution of the semidiscrete problem quenches in a finite time and estimate its semidiscrete quenching time. We also establish the convergence of the semidiscrete quenching time and obtain some results on numerical quenching rate. Finally we give some numerical results to illustrate our analysis.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

自引率

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发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.