Numerical solution of the parabolic-Schrodinger equation with the nonlocal boundary condition

被引：1

作者：

Ozdemir, Yildirim ^{[1
]}

Alp, Mustafa ^{[2
]}

机构：

[1] Duzce Univ, Fac Arts & Sci, TR-81620 Duzce, Turkey

[2] Fatih Univ, Student Affairs Off, TR-34500 Istanbul, Turkey

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014) | 2014年 / 1611卷

关键词：

Finite difference method; Partial differential equation; Stability; DIFFERENCE-SCHEMES; HYPERBOLIC-EQUATIONS; 2ND-ORDER; SPACES;

D O I：

10.1063/1.4893836

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, a nonlocal boundary value problem for a parabolic-Schrodinger equation with the Dirichlet condition is considered. The stability estimates for the solution of the given problem are obtained. The first and second order of difference schemes approximately solving this nonlocal boundary problem are presented. The theoretical statements for the solution of these difference schemes are supported by the result of numerical experiments.

引用

页码：221 / 224

页数：4

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