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.authorID | 0000-0002-4596-0553 | en_US |
| dc.contributor.department | AGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü | en_US |
| dc.contributor.institutionauthor | Zeybek, Halil | |
| dc.date.accessioned | 2023-08-01T08:59:59Z | |
| dc.date.available | 2023-08-01T08:59:59Z | |
| dc.date.issued | 2014 | 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.endpage | 15 | en_US |
| dc.identifier.issn | 1085-3375 | |
| dc.identifier.issn | 1687-0409 | |
| dc.identifier.other | WOS:000343466100001 | |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1155/2014/596406 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/1670 | |
| dc.identifier.volume | 596406 | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | HINDAWI PUBLISHING CORPORATION | en_US |
| dc.relation.isversionof | 10.1155/2014/596406 | en_US |
| dc.relation.journal | ABSTRACT AND APPLIED ANALYSIS | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | FINITE-DIFFERENCE SCHEME | en_US |
| dc.subject | LONG-WAVE EQUATION | en_US |
| dc.subject | SOLITARY WAVES | en_US |
| dc.subject | RLW EQUATION | en_US |
| dc.subject | GALERKIN METHOD | en_US |
| dc.subject | COMPUTATIONAL METHOD | en_US |
| dc.subject | MODEL EQUATIONS | en_US |
| dc.subject | ELEMENT-METHOD | en_US |
| dc.subject | APPROXIMATION | 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 |