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Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation. (English) Zbl 0907.65098

The authors apply a second-order splitting method to the Kuramoto-Sivashinsky equation and then an orthogonal cubic spline collocation procedure is employed to the approximate resulting system. A number of experiments is performed for verification and theoretical establishments.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q35 PDEs in connection with fluid mechanics

Software:

ABDPACK; RODAS; GELDA
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Full Text: DOI

References:

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