title: Two different methods for numerical solution of the modified Burgers' equation.
abstract: A 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 ∞ 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.
authors.affiliation: Department of Mathematics, Faculty of Science and Art, Nevsehir Haci Bektas Veli University, 50300 Nevsehir, Turkey.
authors.forename: Seydi Battal Gazi
authors.initials: SB
authors.lastname: Karakoç
authors.affiliation: Department of Mathematics, Faculty of Science and Art, Inonu University, 44280 Malatya, Turkey.
authors.forename: Ali
authors.initials: A
authors.lastname: Başhan
authors.affiliation: Department of Mathematics, Faculty of Science and Art, Inonu University, 44280 Malatya, Turkey.
authors.forename: Turabi
authors.initials: T
authors.lastname: Geyikli
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D020342:Finite Element Analysis; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted