An Improved Numerical Solution of Modified Regularized Long Wave Equation by Quartic Trigonometric B-Spline
| dc.contributor.author | Kirli, Emre | |
| dc.contributor.author | Mersin, Mehmet Ali | |
| dc.date.accessioned | 2025-04-22T12:51:47Z | |
| dc.date.available | 2025-04-22T12:51:47Z | |
| dc.date.issued | 2025 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description.abstract | This study presents the application of a numerical method specifically designed to solve the Modified Regularized Long Wave equation, a crucial model in the analysis of non-linear wave dynamics. The proposed method employs a Quartic Trigonometric B-spline approach for spatial discretization, which ensures smooth and accurate interpolation across the spatial domain, while temporal integration is conducted using the well-established fourth-order Runge–Kutta (RK4) scheme, known for its stability and precision. To evaluate the performance of the method, it is applied to three test problems: the propagation of a single solitary wave, the interaction between two and three solitary waves. The invariant quantities are computed for all test cases. To ensure the stability of the method, a stability analysis is performed through the computation of eigenvalues. The results demonstrate that the proposed method achieves a high degree of accuracy in preserving the invariant properties and produces minimal error, highlighting its efficiency and reliability. | |
| dc.identifier.doi | 10.1007/s40819-025-01832-x | |
| dc.identifier.issn | 23495103 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85218269776 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://dx.doi.org/10.1007/s40819-025-01832-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/13119 | |
| dc.identifier.volume | 11 | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Kirli, Emre | |
| dc.language.iso | en | |
| dc.publisher | 10.1007/s40819-025-01832-x | |
| dc.relation.ispartof | International Journal of Applied and Computational Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Modified Regularized Long Wave | |
| dc.subject | Quartic Trigonometric B-spline | |
| dc.subject | Runge Kutta | |
| dc.subject | Solitary Wave | |
| dc.title | An Improved Numerical Solution of Modified Regularized Long Wave Equation by Quartic Trigonometric B-Spline | |
| dc.type | Article |
