Two Different Methods for Numerical Solution of the Modified Burgers’ Equation
Autor: | Seydi Battal Gazi Karakoç, Ali Başhan, Turabi Geyikli |
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Jazyk: | angličtina |
Rok vydání: | 2014 |
Předmět: | |
Zdroj: | The Scientific World Journal, Vol 2014 (2014) |
Druh dokumentu: | article |
ISSN: | 2356-6140 1537-744X |
DOI: | 10.1155/2014/780269 |
Popis: | 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 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 analysis is also given for the DQM. |
Databáze: | Directory of Open Access Journals |
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