Numerical simulation of Burgers’ equations via quartic HB-spline DQM
Via modified quartic hyperbolic B-spline DQM, Burgers’ equation is numerically approximated in the current study. Ten numerical instances are discussed, and the findings are compared with those already in existence and with exact results. Error norms are assessed, and findings are shown in tabular a...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-03-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0264 |
| _version_ | 1797848676935139328 |
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| author | Kapoor Mamta |
| author_facet | Kapoor Mamta |
| author_sort | Kapoor Mamta |
| collection | DOAJ |
| description | Via modified quartic hyperbolic B-spline DQM, Burgers’ equation is numerically approximated in the current study. Ten numerical instances are discussed, and the findings are compared with those already in existence and with exact results. Error norms are assessed, and findings are shown in tabular as well as graphical formats, to validate the resilience and applicability portion of established numerical system. Matrix stability analysis approach is used to discuss proposed scheme’s stability. The current plan is robust, precise, and simple to put into action. |
| first_indexed | 2024-04-09T18:31:24Z |
| format | Article |
| id | doaj.art-e4e7ec276b054761ab815ad3d8218382 |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-04-09T18:31:24Z |
| publishDate | 2023-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-e4e7ec276b054761ab815ad3d82183822023-04-11T17:07:18ZengDe GruyterNonlinear Engineering2192-80292023-03-011212253610.1515/nleng-2022-0264Numerical simulation of Burgers’ equations via quartic HB-spline DQMKapoor Mamta0Department of Mathematics, Lovely Professional University, Phagwara, Punjab, 144411, IndiaVia modified quartic hyperbolic B-spline DQM, Burgers’ equation is numerically approximated in the current study. Ten numerical instances are discussed, and the findings are compared with those already in existence and with exact results. Error norms are assessed, and findings are shown in tabular as well as graphical formats, to validate the resilience and applicability portion of established numerical system. Matrix stability analysis approach is used to discuss proposed scheme’s stability. The current plan is robust, precise, and simple to put into action.https://doi.org/10.1515/nleng-2022-0264burgers’ equationsdqmmodified quartic hyperbolic b-splinessp-rk43 scheme |
| spellingShingle | Kapoor Mamta Numerical simulation of Burgers’ equations via quartic HB-spline DQM Nonlinear Engineering burgers’ equations dqm modified quartic hyperbolic b-spline ssp-rk43 scheme |
| title | Numerical simulation of Burgers’ equations via quartic HB-spline DQM |
| title_full | Numerical simulation of Burgers’ equations via quartic HB-spline DQM |
| title_fullStr | Numerical simulation of Burgers’ equations via quartic HB-spline DQM |
| title_full_unstemmed | Numerical simulation of Burgers’ equations via quartic HB-spline DQM |
| title_short | Numerical simulation of Burgers’ equations via quartic HB-spline DQM |
| title_sort | numerical simulation of burgers equations via quartic hb spline dqm |
| topic | burgers’ equations dqm modified quartic hyperbolic b-spline ssp-rk43 scheme |
| url | https://doi.org/10.1515/nleng-2022-0264 |
| work_keys_str_mv | AT kapoormamta numericalsimulationofburgersequationsviaquartichbsplinedqm |