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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