Direct WENO scheme for dispersion-type equations

Muyassar Ahmat and Jianxian Qiu

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 204, issue C, 216-229

Abstract: In this paper, we present a weighted essentially non-oscillatory (WENO) scheme for dispersive equations which may generate physical high-frequency oscillation in the non-smooth interface. The third derivative term is approximated directly by a conservative flux difference. A finite-difference WENO scheme of fifth-order is constructed for the discretization of spatial differentiation. The wave behavior of linear and nonlinear dispersion equations is simulated by using the proposed scheme in space direction and the third-order TVD Runge–Kutta method in the time direction. Numerical examples demonstrate the accuracy and good performance of the proposed scheme.

Keywords: Dispersive equation; High-frequency oscillation; WENO scheme; TVD Runge–Kutta method (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:204:y:2023:i:c:p:216-229

DOI: 10.1016/j.matcom.2022.08.010

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