Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrödinger Equation
Joint Authors
Ashyralyev, Allaberen
Sirma, Ali
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The nonlocal boundary value problem for Schrödinger equation in a Hilbert space is considered.
The second-order of accuracy r-modified Crank-Nicolson difference schemes for the approximate solutions of this nonlocal boundary value problem are presented.
The stability of these difference schemes is established.
A numerical method is proposed for solving a one-dimensional nonlocal boundary value problem for the Schrödinger equation with Dirichlet boundary condition.
A procedure of modified Gauss elimination method is used for solving these difference schemes.
The method is illustrated by numerical examples.
American Psychological Association (APA)
Ashyralyev, Allaberen& Sirma, Ali. 2009. Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrödinger Equation. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-482794
Modern Language Association (MLA)
Ashyralyev, Allaberen& Sirma, Ali. Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrödinger Equation. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-482794
American Medical Association (AMA)
Ashyralyev, Allaberen& Sirma, Ali. Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrödinger Equation. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-482794
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482794
