On the convergence of a high-accuracy conservative scheme for the Zakharov equations

Xintian Pan and Luming Zhang

Applied Mathematics and Computation, 2017, vol. 297, issue C, 79-91

Abstract: In this paper, a high-accuracy conservative difference scheme is presented to solve the initial-boundary value problem of the Zakharov equations, which preserves the original conservative properties. The proposed scheme is based on finite difference method. The scheme is second-order accuracy in time and fourth-order accuracy in space. A detailed numerical analysis of the scheme is presented including a convergence analysis result. Numerical examples are given to confirm the proposed scheme is efficient, reliable and of high accuracy.

Keywords: High-accuracy conservative scheme; Zakharov equations; Conservative properties; Error estimate; Convergence (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:297:y:2017:i:c:p:79-91

DOI: 10.1016/j.amc.2016.10.033

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