Ucar, Y.Karaagac, B.Kutluay, S.2024-08-042024-08-0420170973-13770973-7545https://hdl.handle.net/11616/102223In this paper, a Galerkin finite element method has been used to solve numerically the Rosenau-KdV equation using cubic B-spline functions. The system of ordinary differential equations obtained in terms of element parameters by the application of the method has been solved by using the fourth order Runge-Kutta method. The error norms L-2 and L-infinity together with invariants I-1 and I-2 have been calculated to show the accuracy and efficiency of the method. The computed results have been compared with exact values and also other numerical results available in the literature.eninfo:eu-repo/semantics/closedAccessGalerkin finite element methodRosenau-KdV equationRunge-Kutta methodcubic B-splinesolitary waveArticle5638392WOS:000391133000009N/A