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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, Hindawi, vol. 2014, pages 1-9, August.
    • Handle: RePEc:hin:jnlaaa:640194
    DOI: 10.1155/2014/640194
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