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Zbl 1130.65103
Saka, Bülent; Dağ, İdris
Quartic B-spline collocation method to the numerical solutions of the Burgers' equation. (English)
[J] Chaos Solitons Fractals 32, No. 3, 1125-1137 (2007). ISSN 0960-0779

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.
MSC 2000:
*65M70 Spectral, collocation and related methods (IVP of PDE)
35Q53 KdV-like equations

Keywords: collocation method; quartic B-splines; Burgers' equation; algorithms; numerical results

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