Numerical solution of the elliptic-Schrodinger equation with the Dirichlet and Neumann condition

被引：0

作者：

Ozdemir, Yildirim ^{[1
]}

Eser, Mecra ^{[1
]}

机构：

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

来源：

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

关键词：

Finite difference equation; Partial differential equation; Stability; BOUNDARY-VALUE-PROBLEMS; HYPERBOLIC-PARABOLIC EQUATIONS; DIFFERENCE-SCHEMES; HIGH-ORDER; 2ND-ORDER; ACCURACY; SPACES;

D O I：

10.1063/1.4893868

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlocal boundary value problem for an elliptic-Schrodinger equation with Dirichlet and Neumann 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：410 / 414

页数：5

共 50 条

[1] Numerical solution of an elliptic-Schrodinger equation with a multipoint nonlocal boundary condition
Ozdemir, Yildirim
Pekonur, Esra
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
[2] Numerical Solution of a Two Dimensional Elliptic-Parabolic Equation with Dirichlet-Neumann Condition
Ashyralyev, Allaberen
Gercek, Okan
Zusi, Emel
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018), 2018, 1997
[3] A numerical method for finding positive solution of elliptic equation with Neumann boundary condition
Afrouzi, G. A.
Mahdavi, S.
Naghizadch, Z.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) : 23 - 26
[4] Existence of solution for magnetic Schrodinger equation with the Neumann boundary condition
Tang, Houzhi
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (08) : 1313 - 1331
[5] Spatial boundary problem with the Dirichlet-Neumann condition for a singular elliptic equation
Salakhitdinov, M. S.
Karimov, E. T.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) : 3469 - 3476
[6] On the numerical solution of fractional Schrodinger differential equations with the Dirichlet condition
Ashyralyev, Allaberen
Hicdurmaz, Betul
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2012, 89 (13-14) : 1927 - 1936
[7] Bessel and Neumann fitted methods for the numerical solution of the Schrodinger equation
Simos, TE
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (6-7) : 833 - 847
[8] On the Numerical Analysis of a Nonlinear Fractional Schrodinger Equation with Neumann Boundary Condition
Hicdurmaz, Betul
THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019, 2183
[9] Dirichlet-to-Neumann and Neumann-to-Dirichlet embedding methods for bound states of the Schrodinger equation
Szmytkowski, R
Bielski, S
PHYSICAL REVIEW A, 2004, 70 (04): : 042103 - 1
[10] On the implementation of the Dirichlet-to-Neumann radiation condition for iterative solution of the Helmholtz equation
Oberai, AA
Malhotra, M
Pinsky, PM
APPLIED NUMERICAL MATHEMATICS, 1998, 27 (04) : 443 - 464

← 1 2 3 4 5 →