An Efficient Approach to Numerical Study of the MRLW Equation With B-Spline Collocation Method
| dc.contributor.author | Karakoc, Seydi Battal Gazi | |
| dc.contributor.author | Ak, Turgut | |
| dc.contributor.author | Zeybek, Halil | |
| dc.contributor.author | Karakoҫ, Seydi Battal Gazi | |
| dc.date.accessioned | 2025-09-25T10:40:24Z | |
| dc.date.available | 2025-09-25T10:40:24Z | |
| dc.date.issued | 2014 | |
| dc.description | Zeybek, Halil/0000-0002-4596-0553; Ak, Dr. Turgut/0000-0001-8368-8506 | en_US |
| dc.description.abstract | A septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation. Three test problems including the single soliton and interaction of two and three solitons are studied to validate the proposed method by calculating the error norms L-2 and L-infinity and the invariants I-1, I-2, and I-3. Also, we have studied the Maxwellian initial condition pulse. The numerical results obtained by the method show that the present method is accurate and efficient. Results are compared with some earlier results given in the literature. A linear stability analysis of the method is also investigated. | en_US |
| dc.identifier.doi | 10.1155/2014/596406 | |
| dc.identifier.issn | 1085-3375 | |
| dc.identifier.issn | 1687-0409 | |
| dc.identifier.scopus | 2-s2.0-84913559612 | |
| dc.identifier.uri | https://doi.org/10.1155/2014/596406 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/3248 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Abstract and Applied Analysis | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | An Efficient Approach to Numerical Study of the MRLW Equation With B-Spline Collocation Method | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Zeybek, Halil/0000-0002-4596-0553 | |
| gdc.author.id | Ak, Dr. Turgut/0000-0001-8368-8506 | |
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| gdc.author.scopusid | 56433137600 | |
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| gdc.author.wosid | Karakoc, Seydi/Abh-7571-2020 | |
| gdc.author.wosid | Zeybek, Halil/Aac-8869-2019 | |
| gdc.author.wosid | Ak, Turgut/A-1086-2019 | |
| gdc.author.wosid | Ak, Dr. Turgut/Z-2129-2018 | |
| gdc.author.wosid | Karakoc, Seydi/AFB-6984-2022 | |
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| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | [Karakoc, Seydi Battal Gazi] Nevsehir Haci Bektas Veli Univ, TR-50300 Nevsehir, Turkey; [Ak, Turgut] Yalova Univ, Armutlu Vocat High Sch, TR-77500 Yalova, Turkey; [Zeybek, Halil] Abdullah Gul Univ, Fac Comp Sci, TR-38039 Kayseri, Turkey | en_US |
| gdc.description.endpage | 15 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1 | |
| gdc.description.volume | 2014 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | GALERKIN METHOD | |
| gdc.oaire.keywords | Septic | |
| gdc.oaire.keywords | RLW EQUATION | |
| gdc.oaire.keywords | COMPUTATIONAL METHOD | |
| gdc.oaire.keywords | MRLW equation | |
| gdc.oaire.keywords | LONG-WAVE EQUATION | |
| gdc.oaire.keywords | SOLITARY WAVES | |
| gdc.oaire.keywords | MODEL EQUATIONS | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FINITE-DIFFERENCE SCHEME | |
| gdc.oaire.keywords | ELEMENT-METHOD | |
| gdc.oaire.keywords | Collocation | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | APPROXIMATION | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
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