Two Different Methods for Numerical Solution of the Modified Burgers’ Equation
Joint Authors
Geyikli, Turabi
Karakoç, Seydi Battal Gazi
Başhan, Ali
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-03
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A numerical solution of the modified Burgers’ equation (MBE) is obtained byusing 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 bycomputing L2 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 analysisis also given for the DQM.
American Psychological Association (APA)
Karakoç, Seydi Battal Gazi& Başhan, Ali& Geyikli, Turabi. 2014. Two Different Methods for Numerical Solution of the Modified Burgers’ Equation. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1050995
Modern Language Association (MLA)
Karakoç, Seydi Battal Gazi…[et al.]. Two Different Methods for Numerical Solution of the Modified Burgers’ Equation. The Scientific World Journal No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1050995
American Medical Association (AMA)
Karakoç, Seydi Battal Gazi& Başhan, Ali& Geyikli, Turabi. Two Different Methods for Numerical Solution of the Modified Burgers’ Equation. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1050995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050995
