Karakoc, Seydi Battal GaziUcar, YusufYagmurlu, Nurimurat2024-08-042024-08-0420152307-41082307-4116https://hdl.handle.net/11616/96846In this paper, a numerical solution of the modified regularized long wave (MRLW) equation has been obtained by a numerical technique based on a lumped Galerkin method using cubic B-spline finite elements. Solitary wave motion, interaction of two and three solitary waves have been studied to validate the proposed method. The three invariants (I-1, I-2, I-3) of the motion have been calculated to determine the conservation properties of the scheme. Error norms L-2 and L-infinity have been used to measure the differences between the exact and numerical solutions. Also, a linear stability analysis of the scheme is proposed.eninfo:eu-repo/semantics/closedAccessCubic B-splinesfinite element methodGalerkinMRLW equationsolitary wavesArticle4221411592-s2.0-84932164522Q2WOS:000356337000009Q4