Two Different Methods for Numerical Solution of the Modified Burgers' Equation


KARAKOÇ S. B. G. , Bashan A., Geyikli T.

SCIENTIFIC WORLD JOURNAL, 2014 (SCI İndekslerine Giren Dergi) identifier identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/780269
  • Dergi Adı: SCIENTIFIC WORLD JOURNAL

Özet

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-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.