Compact Implicit Integration Factor Method for the Nonlinear Dirac Equation
Joint Authors
Zhang, Jing-Jing
Shao, Jing-Fang
Li, Xiang-Gui
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A high-order accuracy numerical method is proposed to solve the (1+1)-dimensional nonlinear Dirac equation in this work.
We construct the compact finite difference scheme for the spatial discretization and obtain a nonlinear ordinary differential system.
For the temporal discretization, the implicit integration factor method is applied to deal with the nonlinear system.
We therefore develop two implicit integration factor numerical schemes with full discretization, one of which can achieve fourth-order accuracy in both space and time.
Numerical results are given to validate the accuracy of these schemes and to study the interaction dynamics of the nonlinear Dirac solitary waves.
American Psychological Association (APA)
Zhang, Jing-Jing& Li, Xiang-Gui& Shao, Jing-Fang. 2017. Compact Implicit Integration Factor Method for the Nonlinear Dirac Equation. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1151332
Modern Language Association (MLA)
Zhang, Jing-Jing…[et al.]. Compact Implicit Integration Factor Method for the Nonlinear Dirac Equation. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1151332
American Medical Association (AMA)
Zhang, Jing-Jing& Li, Xiang-Gui& Shao, Jing-Fang. Compact Implicit Integration Factor Method for the Nonlinear Dirac Equation. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1151332
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151332