Numerical approximations of CNLS equations via UAH tension B-spline DQM
Via UAH tension B-spline DQM in the present research, numerical approximation of coupled Schrödinger equations in one and two dimensions is fetched. In the present research, a novel regime is generated as a fusion of a UAH tension B-spline of fourth-order and DQM to fetch the requisite weighting coe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-03-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0283 |
| _version_ | 1797848681606545408 |
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| author | Kapoor Mamta Joshi Varun |
| author_facet | Kapoor Mamta Joshi Varun |
| author_sort | Kapoor Mamta |
| collection | DOAJ |
| description | Via UAH tension B-spline DQM in the present research, numerical approximation of coupled Schrödinger equations in one and two dimensions is fetched. In the present research, a novel regime is generated as a fusion of a UAH tension B-spline of fourth-order and DQM to fetch the requisite weighting coefficients. To ensure the adaptability and effectiveness of the proposed regime, different numerical examples are elaborated. Present results are matched with previous results, and the elastic property is also validated for solitons. The fetched ordinary differential equations system is handled via the SSP-RK43 regime. The stability of the present method is verified via the matrix method. The robustness of the proposed regime is affirmed via error norms. The fetched results are acceptable and validated. Elasticity property via wave interaction is also covered in the present research. The present study also focuses on one very important property of physics, like elasticity, which is rarely discussed in the literature. The developed numerical regime will undoubtedly be useful in addressing various fractional partial differential equations of complex nature as well. |
| first_indexed | 2024-04-09T18:31:29Z |
| format | Article |
| id | doaj.art-f81a3134921542ffbb204a055dde417c |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-04-09T18:31:29Z |
| publishDate | 2023-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-f81a3134921542ffbb204a055dde417c2023-04-11T17:07:18ZengDe GruyterNonlinear Engineering2192-80292023-03-01121698310.1515/nleng-2022-0283Numerical approximations of CNLS equations via UAH tension B-spline DQMKapoor Mamta0Joshi Varun1Department of Mathematics, Lovely Professional University, Phagwara, Punjab, IndiaDepartment of Mathematics, Lovely Professional University, Phagwara, Punjab, IndiaVia UAH tension B-spline DQM in the present research, numerical approximation of coupled Schrödinger equations in one and two dimensions is fetched. In the present research, a novel regime is generated as a fusion of a UAH tension B-spline of fourth-order and DQM to fetch the requisite weighting coefficients. To ensure the adaptability and effectiveness of the proposed regime, different numerical examples are elaborated. Present results are matched with previous results, and the elastic property is also validated for solitons. The fetched ordinary differential equations system is handled via the SSP-RK43 regime. The stability of the present method is verified via the matrix method. The robustness of the proposed regime is affirmed via error norms. The fetched results are acceptable and validated. Elasticity property via wave interaction is also covered in the present research. The present study also focuses on one very important property of physics, like elasticity, which is rarely discussed in the literature. The developed numerical regime will undoubtedly be useful in addressing various fractional partial differential equations of complex nature as well.https://doi.org/10.1515/nleng-2022-0283dqmuah tension b-splinecoupled schrödinger equationsssp-rk 43 regimematrix method |
| spellingShingle | Kapoor Mamta Joshi Varun Numerical approximations of CNLS equations via UAH tension B-spline DQM Nonlinear Engineering dqm uah tension b-spline coupled schrödinger equations ssp-rk 43 regime matrix method |
| title | Numerical approximations of CNLS equations via UAH tension B-spline DQM |
| title_full | Numerical approximations of CNLS equations via UAH tension B-spline DQM |
| title_fullStr | Numerical approximations of CNLS equations via UAH tension B-spline DQM |
| title_full_unstemmed | Numerical approximations of CNLS equations via UAH tension B-spline DQM |
| title_short | Numerical approximations of CNLS equations via UAH tension B-spline DQM |
| title_sort | numerical approximations of cnls equations via uah tension b spline dqm |
| topic | dqm uah tension b-spline coupled schrödinger equations ssp-rk 43 regime matrix method |
| url | https://doi.org/10.1515/nleng-2022-0283 |
| work_keys_str_mv | AT kapoormamta numericalapproximationsofcnlsequationsviauahtensionbsplinedqm AT joshivarun numericalapproximationsofcnlsequationsviauahtensionbsplinedqm |