Kutluay, SEsen, A2024-08-042024-08-0420040020-7160https://doi.org/10.1080/00207160412331286833https://hdl.handle.net/11616/94171A numerical solution of the one-dimensional Burgers equation is obtained using a lumped Galerkin method with quadratic B-spline finite elements. The scheme is implemented to solve a set of test problems with known exact solutions. Results are compared with published numerical and exact solutions. The proposed scheme performs well. A linear stability analysis shows the scheme to be unconditionally stable.eninfo:eu-repo/semantics/closedAccessthe Burgers equationlumped Galerkin methodquadratic B-splinesArticle81111433144410.1080/002071604123312868332-s2.0-28244440463Q2WOS:000224978200013Q4