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A Compact‐Type CIP Method for General Korteweg‐de Vries Equation

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  • YuFeng Shi
  • Biao XU
  • Yan Guo

Abstract

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.

Suggested Citation

  • YuFeng Shi & Biao XU & Yan Guo, 2014. "A Compact‐Type CIP Method for General Korteweg‐de Vries Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:640194
    DOI: 10.1155/2014/640194
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    References listed on IDEAS

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    1. Helal, M.A. & Mehanna, M.S., 2006. "A comparison between two different methods for solving KdV–Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 320-326.
    2. Helal, M.A. & Mehanna, M.S., 2007. "A comparative study between two different methods for solving the general Korteweg–de Vries equation (GKdV)," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 725-739.
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