Symmetrical splitting scheme for nonlinear Shrödinger equation
In this paper we consider one-dimensional nonlinear Shrödinger equation. The equation includes an absorption term and the solution is periodically amplified in order to compensate the lose of the energy. We present a finite difference approximation by a symetrical splitting scheme. The convergence...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2001-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/34637 |
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| _version_ | 1825197233784487936 |
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| author | Raimondas Čiegis Violeta Pakenienė |
| author_facet | Raimondas Čiegis Violeta Pakenienė |
| author_sort | Raimondas Čiegis |
| collection | DOAJ |
| description |
In this paper we consider one-dimensional nonlinear Shrödinger equation. The equation includes an absorption term and the solution is periodically amplified in order to compensate the lose of the energy. We present a finite difference approximation by a symetrical splitting scheme. The convergence of the discrete solution is proved.
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| format | Article |
| id | doaj-art-3cb1515389dc478c8820bb49eb0f4f7e |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2001-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-3cb1515389dc478c8820bb49eb0f4f7e2025-02-11T18:14:13ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2001-12-0141spec.10.15388/LMR.2001.34637Symmetrical splitting scheme for nonlinear Shrödinger equationRaimondas Čiegis0Violeta Pakenienė1Vilnius Gediminas Technical UniversityVilnius Gediminas Technical University In this paper we consider one-dimensional nonlinear Shrödinger equation. The equation includes an absorption term and the solution is periodically amplified in order to compensate the lose of the energy. We present a finite difference approximation by a symetrical splitting scheme. The convergence of the discrete solution is proved. https://www.zurnalai.vu.lt/LMR/article/view/34637 |
| spellingShingle | Raimondas Čiegis Violeta Pakenienė Symmetrical splitting scheme for nonlinear Shrödinger equation Lietuvos Matematikos Rinkinys |
| title | Symmetrical splitting scheme for nonlinear Shrödinger equation |
| title_full | Symmetrical splitting scheme for nonlinear Shrödinger equation |
| title_fullStr | Symmetrical splitting scheme for nonlinear Shrödinger equation |
| title_full_unstemmed | Symmetrical splitting scheme for nonlinear Shrödinger equation |
| title_short | Symmetrical splitting scheme for nonlinear Shrödinger equation |
| title_sort | symmetrical splitting scheme for nonlinear shrodinger equation |
| url | https://www.zurnalai.vu.lt/LMR/article/view/34637 |
| work_keys_str_mv | AT raimondasciegis symmetricalsplittingschemefornonlinearshrodingerequation AT violetapakeniene symmetricalsplittingschemefornonlinearshrodingerequation |