Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation

Manickam, A. V. ; Moudgalya, K. M. ; Pani, A. K. (1998) Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation Computers & Mathematics with Applications, 35 (6). pp. 5-25. ISSN 0898-1221

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/S0898-1221(98)00013-3

Abstract

In this paper, a second-order splitting method is applied to the Kuramoto-Sivashinsky equation and then an orthogonal cubic spline collocation procedure is employed to the approximate resulting system. This semidiscrete method yields a system of defferential algebraic (DAEs) of index 1. Error extmate in L2 and L normals are obtained for the semidiscrete approximation. For the time Discretization, the time integrator RADAU5 is used. the results of numerical experiments are presented to validate the theoretical findings.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Kuramoto-Sivashinsky Equation; Orthogonal Spline Collocation Method; Semidiscrete Schemes; Error Estimates; Differential Algebraic Equations; Implicit Runge-Kutta Methods
ID Code:81976
Deposited On:09 Feb 2012 04:42
Last Modified:09 Feb 2012 04:42

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