Esen, AKutluay, S2024-08-042024-08-0420060096-3003https://doi.org/10.1016/j.amc.2005.05.032https://hdl.handle.net/11616/94288In this paper, a lumped Galerkin method based on quadratic B-spline finite elements is used to find numerical solutions of the one-dimensional regularized long wave (RLW) equation with a variant of initial and boundary conditions. The obtained numerical results show that the present method is a remarkably Successful numerical technique for solving the equation. Results are compared with published numerical solutions. A linear stability analysis of the scheme is also investigated. (c) 2005 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessRLW equationlumped Galerkin methodsplinessolitary wavesundular boreArticle174283384510.1016/j.amc.2005.05.0322-s2.0-33644585053N/AWOS:000236407300004Q2