A boundary value problem for the KdV equation: Comparison of finite-difference and Chebyshev methods

Jan Ole Skogestad and Henrik Kalisch

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 1, 151-163

Abstract: Solutions of a boundary value problem for the Korteweg–de Vries equation are approximated numerically using a finite-difference method, and a collocation method based on Chebyshev polynomials. The performance of the two methods is compared using exact solutions that are exponentially small at the boundaries. The Chebyshev method is found to be more efficient.

Keywords: KdV equation; Boundary-value problem; Finite-difference method; Chebyshev method (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:1:p:151-163

DOI: 10.1016/j.matcom.2009.06.009

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