Quartic B-spline collocation method to the numerical solutions of the Burgers’ equation

The collocation method using quartic B-splines is described for the numerical solutions of the Burgers’ equation. The effect of the quartic B-splines in the collocation method is sought. The same method is applied to the time split Burgers’ equation. Numerical comparison of results of both algorithm...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2007-05, Vol.32 (3), p.1125-1137
Main Authors: Saka, Bülent, Dağ, İdris
Format: Article
Language:English
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Summary:The collocation method using quartic B-splines is described for the numerical solutions of the Burgers’ equation. The effect of the quartic B-splines in the collocation method is sought. The same method is applied to the time split Burgers’ equation. Numerical comparison of results of both algorithms and some other published numerical results are done by studying three standard problems.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2005.11.037