Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method

Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method

In this paper, a numerical solution of the modified Burgers equation is obtained by a cubic B-spline collocation method. In the solution process, a linearization technique based on quasi-linearization has been applied to deal with the non-linear term appearing in the equation. The computed results a...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2016-10, Vol.39 (4), p.1603-1614
Hauptverfasser: Kutluay, Selcuk, Ucar, Yusuf, Yagmurlu, N. Murat
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Burgers equation
Collocation methods
Computation
Linear equations
Linearization
Mathematics
Mathematics and Statistics
Norms
Stability analysis
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Zusammenfassung:In this paper, a numerical solution of the modified Burgers equation is obtained by a cubic B-spline collocation method. In the solution process, a linearization technique based on quasi-linearization has been applied to deal with the non-linear term appearing in the equation. The computed results are compared with others selected from the available literature. The error norms L 2 and L ∞ are computed and found to be sufficiently small. A Fourier stability analysis of the method is also investigated.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-015-0262-6