On stability in the maximum norm of difference scheme for nonlinear parabolic equation with nonlocal condition
نویسندگان
چکیده
We construct and analyze the backward Euler method for one nonlinear one-dimensional parabolic equation with nonlocal boundary condition. The main objective of this article is to investigate stability convergence difference scheme in maximum norm. For purpose, we use M-matrices theory. describe some new approach estimation error solution majorant it. Some conclusions discussion our are presented.
منابع مشابه
Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
* Correspondence: zhgs917@163. com Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China Full list of author information is available at the end of the article Abstract This article deals with the blow-up problems of the positive solutions to a nonlinear parabolic equation with nonlocal source and nonlocal boundary condition. The blow-up and globa...
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ژورنال
عنوان ژورنال: Nonlinear Analysis-Modelling and Control
سال: 2023
ISSN: ['1392-5113', '2335-8963']
DOI: https://doi.org/10.15388/namc.2023.28.31562