A note on the second order of accuracy difference scheme for elliptic-parabolic equations in Holder spaces

被引：0

作者：

Ashyralyev, A. ^{[1
,2
,3
]}

Gercek, O. ^{[4
]}

Zusi, E. ^{[5
]}

机构：

[1] Near East Univ, Nicosia, Turkey

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

[3] Peoples Friendship Univ Russia, Moscow, Russia

[4] Girne Amer Univ, Kyrenia, Turkey

[5] Luigj Gurakuqi Univ, Shkoder, Albania

来源：

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2018年 / 91卷 / 03期

关键词：

difference scheme; elliptic-parabolic equation; Holder spaces; well-posedness; coercivity inequalities;

D O I：

10.31489/2018M3/108-116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper is devoted to the study of a second order of accuracy difference scheme for a solution of the elliptic-parabolic equation with nonlocal boundary condition. The well-posedness of the second order of accuracy difference scheme in Holder spaces is established. Coercivity estimates in Holder norms for an approximate solution of a nonlocal boundary value problem for elliptic-parabolic differential equation are obtained. Results of numerical experiments are presented in order to support the aforementioned theoretical statements.

引用

页码：108 / 116

页数：9

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