Karakoc, Seydi Battal GaziBashan, AliGeyikli, Turabi2024-08-042024-08-0420141537-744Xhttps://doi.org/10.1155/2014/780269https://hdl.handle.net/11616/96424A numerical solution of the modified Burgers' equation (MBE) is obtained by using quartic B-spline subdomain finite element method (SFEM) over which the nonlinear term is locally linearized and using quartic B-spline differential quadrature (QBDQM) method. The accuracy and efficiency of the methods are discussed by computing L-2 and L-infinity error norms. Comparisons are made with those of some earlier papers. The obtained numerical results show that the methods are effective numerical schemes to solve the MBE. A linear stability analysis, based on the von Neumann scheme, shows the SFEM is unconditionally stable. A rate of convergence analysis is also given for the DQM.eninfo:eu-repo/semantics/openAccessQuadrature MethodB-SplinesArticle2516206410.1155/2014/7802692-s2.0-84899427303N/AWOS:000334229000001N/A