Dağ, İdrisCanıvar, AynurŞahin, Ali13.07.20192019-07-2913.07.20192019-07-2920111007-57041878-7274https://doi.org/10.1016/j.cnsns.2010.10.009https://hdl.handle.net/20.500.12451/5783In this paper, for the numerical solution of Burgers' equation, we give two B-spline finite element algorithms which involve a collocation method with cubic B-splines and a Galerkin method with quadratic B-splines. In time discretization of the equation, Taylor series expansion is used. In order to verify the stabilities of the purposed methods, von-Neumann stability analysis is employed. To see the accuracy of the methods, L-2 and L-infinity error norms are calculated and obtained results are compared with some earlier studies.eninfo:eu-repo/semantics/closedAccessTaylorGalerkinCollocationB-splineBurgers' EquationArticle1672696270810.1016/j.cnsns.2010.10.009Q1WOS:000288639900006N/A