Numerical solution of a hyperbolic-Schrodinger equation with a multipoint nonlocal boundary condition

被引：0

作者：

Ozdemir, Yildirim ^{[1
]}

Erdogan, Sevilay ^{[2
]}

机构：

[1] Duzce Univ, Dept Math, TR-81620 Duzce, Turkey

[2] Duzce Univ, Grad Inst Sci & Engn, TR-81620 Duzce, Turkey

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016) | 2016年 / 1759卷

关键词：

Finite difference equation; Partial differential equation; Stability; DIFFERENCE-SCHEMES; ORDER;

D O I：

10.1063/1.4959695

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we suggest a numerical method to solve hyperbolic-Schrodinger partial differential equations with the multipoint nonlocal boundary condition. The stability estimates for the solution of the given problem are established. The first and second order of accuracy difference schemes are obtained for the solution of the given problem. These difference schemes are solved by using the method of modified Gauss elimination for one-dimensional hyperbolic-Schrodinger partial differential equations. The results of numerical experiments are given for supporting the method.

引用

页数：6

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