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A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation
Qin, Hongyu1; Wu, Fengyan2,3; Ding, Deng3
2022-01
Source PublicationApplied Mathematics and Computation
ISSN0096-3003
Volume412
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
Scopus ID2-s2.0-85112760721
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Document TypeJournal article
CollectionDEPARTMENT 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.
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.
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).
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