Semi-Implicit Difference Scheme for a Two-Dimensional Parabolic Equation with an Integral Boundary Condition

被引：7

作者：

Jakubeliene, Kristina ^{[1
]}

Ciupaila, Regimantas ^{[2
]}

Sapagovas, Mifodijus ^{[3
]}

机构：

[1] Kaunas Univ Technol, Studentu Str 50, LT-51368 Kaunas, Lithuania

[2] Vilnius Gediminas Tech Univ, Sauletekio Av 11, LT-10223 Vilnius, Lithuania

[3] Vilnius Univ, Inst Math & Informat, Akad Str 4, LT-08663 Vilnius, Lithuania

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2017年 / 22卷 / 05期

关键词：

integral boundary condition; semi-implicit difference scheme; stability; M-matrix; ALTERNATING DIRECTION METHOD; NONLOCAL CONDITIONS; STABILITY ANALYSIS; EIGENVALUE PROBLEM; HEAT-EQUATION; SUBJECT; OPERATOR;

D O I：

10.3846/13926292.2017.1342709

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a finite difference method for a class of two-dimensional parabolic equations with integral boundary conditions. The semi-implicit difference scheme is considered. The stability of difference scheme is proved using the properties of the M-matrices, particularly, the regular splitting of an M-matrix. The numerical results of some examples are presented, that approve our theoretical investigations.

引用

页码：617 / 633

页数：17

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