STABILITY ANALYSIS OF THE PEACEMAN-RACHFORD METHOD FOR PARABOLIC EQUATIONS WITH NONLOCAL CONDITIONS

被引：0
|
作者：
Sapagovas, Mifodijus [1 ]
Novickij, Jurij [1 ]
Ciupaila, Regimantas [2 ]
机构：
[1] Vilnius Univ, Inst Data Sci & Digital Technol, Akademijos Str 4, LT-04812 Vilnius, Lithuania
[2] Vilnius Gediminas Tech Univ, Sauletekio Ave 11, LT-10223 Vilnius, Lithuania
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 2022卷 / 44期
关键词：
Nonlocal boundary conditions; parabolic equations; alternating direction method; stability of finite difference scheme; ALTERNATING DIRECTION METHOD; POISSON EQUATION; CONVERGENCE; 2ND-ORDER; SUBJECT;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an efficient finite difference method solving of two-dimensional parabolic equations with nonlocal conditions. The specific feature of the investigated problem is that the nonlocal condition contains the values of solution's derivatives at different points. We prove the stability of this method in specific energy norm. The main stability condition is that all eigenvalues of the corresponding difference problem are positive. Results of computational experiments are presented.
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页数：15
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