A Note on Stability of Parabolic Difference Equations on Torus

被引：1

作者：

Ashyralyev, Allaberen ^{[1
,2
,3
]}

Hezenci, Fatih ^{[4
]}

Sozen, Yasar ^{[5
]}

机构：

[1] Bahcesehir Univ, Dept Math, Istanbul, Turkiye

[2] Peoples Friendship Univ Russia, RUDN Univ, Moscow, Russia

[3] Inst Math & Math Modeling, Alma Ata, Kazakhstan

[4] Duzce Univ, Fac Sci & Arts, Dept Math, Konuralp Campus Cent, TR-81620 Duzce, Turkiye

[5] Hacettepe Univ, Dept Math, Ankara, Turkiye

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 06期

关键词：

Difference equations on manifolds; difference schemes; self-adjoint positive definite operator; well-posedness;

D O I：

10.1080/01630563.2023.2183509

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present article investigates nonlocal boundary value problems for parabolic equations of reverse type on torus. The first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle T-1 and torus T-2 are presented. For the solutions of the difference scheme, the stability estimates and coercivity estimates in various Holder norms are established. Furthermore, theoretical results are supported by numerical experiments.

引用

页码：490 / 509

页数：20

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