AN INVESTIGATION ON FINITE DIFFERENCE METHOD FOR THE FIRST ORDER PARTIAL DIFFERENTIAL EQUATION WITH THE NONLOCAL BOUNDARY CONDITION

被引：0

作者：

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

Erdogan, Abdullah S. ^{[4
]}

Tekalan, Sueda N. ^{[5
]}

机构：

[1] Near East Univ, TRNC, Dept Math, Mersin 10, Nicosia, Turkey

[2] Peoples Friendship Univ Russia, RUDN Univ, Moscow 117198, Russia

[3] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[4] Valencia Coll, Orlando, FL 32825 USA

[5] Istanbul Univ, Dept Math, Istanbul, Turkey

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2019年 / 18卷 / 03期

关键词：

First Order Partial Differential Equations; Nonlocal Boundary Value Problems; Difference Schemes; Interpolation Spaces; Positivity of the Difference Operator; Stability Estimates; PARABOLIC EQUATION; HYPERBOLIC SYSTEM; STABILITY; SCHEMES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, the finite difference method for the initial value problem for the first order partial differential equation with the nonlocal boundary condition is investigated. The positivity of the difference analogy of the space operator generated by this problem in the space C with maximum norm is established. The structure interpolation spaces generated by this difference operator is studied. The positivity of this difference operator in Holder spaces is established. In applications, the stability estimates for the solution of the difference scheme for the first order partial differential equation with the nonlocal boundary condition are obtained. A numerical experiment is given.

引用

页码：247 / 260

页数：14

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