Development and L2-analysis of a single-step characteristics finite difference scheme of second order in time for convection-diffusion problems

Hirofumi Notsu, Hongxing Rui, Masahisa Tabata

    研究成果: Article査読

    6 被引用数 (Scopus)

    抄録

    A new finite difference scheme based on the method of characteristics is presented for convection-diffusion problems. The scheme is of single-step and second order in time, and the matrix of the derived system of linear equations is symmetric. Since it is a finite difference scheme, we can get rid of numerical integration which may cause some instability in the characteristics finite element method. An optimal error estimate is proved in the framework of the discrete L2-theory. Numerical results are shown to recognize the convergence order and advantages of the scheme.

    本文言語English
    ページ(範囲)343-380
    ページ数38
    ジャーナルJournal of Algorithms and Computational Technology
    7
    3
    DOI
    出版ステータスPublished - 2013 9 1

    ASJC Scopus subject areas

    • 数値解析
    • 計算数学
    • 応用数学

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