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Some Remarks on the Stability Condition of Numerical Scheme of the KdV-type Equation

Author

Listed:
  • Chun-Te Lee
  • Jeng-Eng Lin
  • Chun-Che Lee
  • Mei-Li Liu

Abstract

This paper has employed a comparative study between the numerical scheme and stability condition. Numerical calculations are carried out based on three different numerical schemes, namely the central finite difference, fourier leap-frog, and fourier spectral RK4 schemes. Stability criteria for different numerical schemes are developed for the KdV equation, and numerical examples are put to test to illustrate the accuracy and stability between the solution profile and numerical scheme.

Suggested Citation

  • Chun-Te Lee & Jeng-Eng Lin & Chun-Che Lee & Mei-Li Liu, 2017. "Some Remarks on the Stability Condition of Numerical Scheme of the KdV-type Equation," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(4), pages 11-22, August.
    • Handle: RePEc:ibn:jmrjnl:v:9:y:2017:i:4:p:11-22
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    More about this item

    Keywords

    Fourier spectral method; finite difference; fourier leap-frog; stability; KdV;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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