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

Chun-Te Lee, Jeng-Eng Lin, Chun-Che Lee and Mei-Li Liu

Journal of Mathematics Research, 2017, vol. 9, issue 4, 11-22

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.

Keywords: Fourier spectral method; finite difference; fourier leap-frog; stability; KdV (search for similar items in EconPapers)
Date: 2017
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