A leapfrog algorithm and stability studies for the non-linear Schrodinger equation
Joint Authors
Zaki, S. I.
al-Sharawi, Z.
Gardner, L. R. T.
Gardner, G. A.
Source
The Arabian Journal for Science and Engineering
Issue
Vol. 18, Issue 1 (31 Jan. 1993), pp.23-32, 10 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
1993-01-31
Country of Publication
Saudi Arabia
No. of Pages
10
Main Subjects
Topics
Abstract EN
A B-spline finite element method is applied to the solution of the non-linear Schrodinger equation.
The approach used is based on collocation of cubic B-splines over spatial finite elements, so that we have continuity of the dependent variable and its first two derivatives throughout the solution range, and a leapfrog approximation in time.
Stability of the numerical algorithm is discussed and standard problems studied.
The algorithm has good conservation properties and does not suffer from non-linear blowup.
Comparisons are made with published numeric and analytic solutions.
American Psychological Association (APA)
Gardner, L. R. T.& Gardner, G. A.& Zaki, S. I.& al-Sharawi, Z.. 1993. A leapfrog algorithm and stability studies for the non-linear Schrodinger equation. The Arabian Journal for Science and Engineering،Vol. 18, no. 1, pp.23-32.
https://search.emarefa.net/detail/BIM-598495
Modern Language Association (MLA)
Zaki, S. I.…[et al.]. A leapfrog algorithm and stability studies for the non-linear Schrodinger equation. The Arabian Journal for Science and Engineering Vol. 18, no. 1 (Jan. 1993), pp.23-32.
https://search.emarefa.net/detail/BIM-598495
American Medical Association (AMA)
Gardner, L. R. T.& Gardner, G. A.& Zaki, S. I.& al-Sharawi, Z.. A leapfrog algorithm and stability studies for the non-linear Schrodinger equation. The Arabian Journal for Science and Engineering. 1993. Vol. 18, no. 1, pp.23-32.
https://search.emarefa.net/detail/BIM-598495
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 31-32
Record ID
BIM-598495
