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Numerical solutions of the coupled Burgers’ equation by the Galerkin quadratic B‐spline finite element method
Author(s) -
Kutluay S.,
Ucar Y.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2767
Subject(s) - mathematics , quadratic equation , b spline , finite element method , galerkin method , burgers' equation , mathematical analysis , numerical analysis , discontinuous galerkin method , stability (learning theory) , partial differential equation , geometry , computer science , physics , machine learning , thermodynamics
In this paper, a coupled Burgers’ equation has been numerically solved by a Galerkin quadratic B‐spline FEM. The performance of the method has been examined on three test problems. Results obtained by the method have been compared with known exact solution and other numerical results in the literature. A Fourier stability analysis of the method is also investigated. Copyright © 2013 John Wiley & Sons, Ltd.