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

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  • Pan, Xintian
  • Zhang, Luming

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.

Suggested Citation

  • Pan, Xintian & Zhang, Luming, 2017. "On the convergence of a high-accuracy conservative scheme for the Zakharov equations," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 79-91.
    • Handle: RePEc:eee:apmaco:v:297:y:2017:i:c:p:79-91
    DOI: 10.1016/j.amc.2016.10.033
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