A High Order of Accuracy of Difference Schemes for the Nonlocal Boundary Value Schrodinger Problem

被引：0

作者：

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

Sirma, Ali ^{[4
]}

机构：

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

[2] RUDN Univ, Peoples Friendship Univ Russia, Ul Miklukho Maklaya 6, Moscow 117198, Russia

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

[4] Halic Univ, Dept Ind Engn, Istanbul, Turkey

来源：

FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020) | 2021年 / 2334卷

关键词：

Difference schemes; stability; Schrodinger problem; EQUATION;

D O I：

10.1063/5.0042183

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, nonlocal boundary value Schrodinger type problem in a Hilbert space with the self-adjoint positive definite operator is investigated. Single step stable third and fourth order of accuracy difference schemes for the numerical solution of this problem are presented. The main theorems on the stability of these difference schemes are established. In application, theorem on the stability of difference schemes for nonlocal boundary value problems for Schrodinger equations is proved. Numerical results are given.

引用

页数：5

共 12 条

[1] On the Stability of the Schrodinger Equation with Time Delay [J].