On the blow-up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions

被引：8

作者：

Koleva, MN ^{[1
]}

Vulkov, LG ^{[1
]}

机构：

[1] Univ Rousse, Ctr Appl Math & Informat, Rousse 7017, Bulgaria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 161卷 / 01期

关键词：

heat-diffusion equation; dynamical boundary conditions; blow-up; blow-up rate; finite difference schemes; convergence; blow-up set;

D O I：

10.1016/j.amc.2003.12.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyse three known finite difference schemes applied to the heat-diffusion equation with semilinear dynamical boundary conditions. We prove that the numerical blow-up times converge to the continuous ones. Also, the number of peaks of the solutions is studied. Numerical experiments are discussed and at the same time, certain interesting properties of the continuous solutions are predicted. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：69 / 91

页数：23

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