Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System
We develop error estimates of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a coupled nonlinear Schrödinger-Benjamin-Ono system that describes the motion of two fluids with different densities under capillary-gravity waves in a de...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/6930758 |
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| _version_ | 1832551541139046400 |
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| author | Juan Carlos Muñoz Grajales |
| author_facet | Juan Carlos Muñoz Grajales |
| author_sort | Juan Carlos Muñoz Grajales |
| collection | DOAJ |
| description | We develop error estimates of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a coupled nonlinear Schrödinger-Benjamin-Ono system that describes the motion of two fluids with different densities under capillary-gravity waves in a deep water regime. The accuracy of the numerical solver is checked using some exact travelling wave solutions of the system. |
| format | Article |
| id | doaj-art-726e0e9949944d539ae106ce32c64ba3 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-726e0e9949944d539ae106ce32c64ba32025-02-03T06:01:11ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/69307586930758Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono SystemJuan Carlos Muñoz Grajales0Departamento de Matemáticas, Universidad del Valle, Calle 13 Nro. 100-00, Cali, ColombiaWe develop error estimates of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a coupled nonlinear Schrödinger-Benjamin-Ono system that describes the motion of two fluids with different densities under capillary-gravity waves in a deep water regime. The accuracy of the numerical solver is checked using some exact travelling wave solutions of the system.http://dx.doi.org/10.1155/2016/6930758 |
| spellingShingle | Juan Carlos Muñoz Grajales Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System International Journal of Differential Equations |
| title | Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System |
| title_full | Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System |
| title_fullStr | Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System |
| title_full_unstemmed | Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System |
| title_short | Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System |
| title_sort | error analysis of an implicit spectral scheme applied to the schrodinger benjamin ono system |
| url | http://dx.doi.org/10.1155/2016/6930758 |
| work_keys_str_mv | AT juancarlosmunozgrajales erroranalysisofanimplicitspectralschemeappliedtotheschrodingerbenjaminonosystem |