UM  > Faculty of Science and Technology
Residential Collegefalse
Status已發表Published
A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation
Qin, Hongyu1; Wu, Fengyan2,3; Ding, Deng3
2022
Source PublicationApplied Mathematics and Computation
ISSN0096-3003
Volume412Pages:126580
Abstract

We develop a linearized compact alternating direction implicit (ADI) numerical method to solve the nonlinear delayed Schrödinger equation in two-dimensional space. By discrete energy estimate method, we analyse the convergence of the fully-discrete numerical method, and show that the numerical scheme is of order O(Δt+h) with time stepsize Δt and space stepsize h. At last, we present several numerical examples to confirm theoretical analyses.

KeywordCompact Adi Numerical Method Convergence Nonlinear Delayed Schrödinger Equation Stability
DOI10.1016/j.amc.2021.126580
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000697154500022
PublisherELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169
Scopus ID2-s2.0-85112760721
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorWu, Fengyan
Affiliation1.School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China
2.College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China
3.Department of Mathematics, University of Macau, Macao, China
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Qin, Hongyu,Wu, Fengyan,Ding, Deng. A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation[J]. Applied Mathematics and Computation, 2022, 412, 126580.
APA Qin, Hongyu., Wu, Fengyan., & Ding, Deng (2022). A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation. Applied Mathematics and Computation, 412, 126580.
MLA Qin, Hongyu,et al."A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation".Applied Mathematics and Computation 412(2022):126580.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Qin, Hongyu]'s Articles
[Wu, Fengyan]'s Articles
[Ding, Deng]'s Articles
Baidu academic
Similar articles in Baidu academic
[Qin, Hongyu]'s Articles
[Wu, Fengyan]'s Articles
[Ding, Deng]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Qin, Hongyu]'s Articles
[Wu, Fengyan]'s Articles
[Ding, Deng]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.