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Shi, YuFeng; Xu, Biao; Guo, Yan

A compact-type CIP method for general Korteweg-de Vries equation. (English) Zbl 1474.65290

Abstr. Appl. Anal. 2014, Article ID 640194, 9 p. (2014).
Summary: We proposed a hybrid compact-CIP scheme to solve the Korteweg-de Vries equation. The algorithm is based on classical constrained interpolation profile (CIP) method, which is coupled with high-order compact scheme for the third derivatives in Korteweg-de Vries equation. Several numerical examples are presented to confirm the high resolution of the proposed scheme.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)

Software:

FDL3DI
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\textit{Y. Shi} et al., Abstr. Appl. Anal. 2014, Article ID 640194, 9 p. (2014; Zbl 1474.65290)
Full Text: DOI

References:

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