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

被引：0

作者：

Ozdemir, Yildirim ^{[1
]}

Pekonur, Esra ^{[2
]}

机构：

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

[2] Yalova Univ, Dept Comp Engn, TR-77100 Yalova, 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; HYPERBOLIC-EQUATIONS; DIFFERENCE-SCHEMES; PARABOLIC EQUATIONS; HIGH-ORDER; 2ND-ORDER; ACCURACY; SPACE;

D O I：

10.1063/1.4959691

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundary value problem for an elliptic-Schrodinger equation with the multipoint nonlocal boundary condition is considered. The stability estimates for the solution of the given problem are established. For numerically solving this multipoint nonlocal boundary problem the first and second order of difference schemes are presented. The theoretical statements for the solution of these difference schemes are supported by the result of numerical examples.

引用

页数：6

共 19 条

[1]

[Anonymous], 1993, HYDRODYNAMICS

[2]

[Anonymous], 1980, The Excitation and Propagation of Elastic Waves

[3] Stability of difference schemes for hyperbolic-parabolic equations [J].