Discretization principles for linear two-point boundary value problems, III

Tetsuro Yamamoto, Shinichi Oishi, M. Zuhair Nashed, Zi Cai Li, Qing Fang

    研究成果: Article

    1 引用 (Scopus)

    抄録

    This paper extends results of Yamamoto et al. (Numer. Funct. Anal. Optimiz. 2008; 29:213-224) to the boundary value problem [image omitted] where the sign of r(x) is indefinite. Let HνAνUν= fν be the finite difference equations on partitions [image omitted], =1,2, with [image omitted] as , where Hν and A ν are diagonal and tridiagonal matrices, respectively, and f ν are vectors generated by discretization of f(x). Then equivalent conditions for the boundary value problem to have a unique solution u ∈ C2[a, b] are given in terms of [image omitted] and [image omitted].

    元の言語English
    ページ(範囲)1180-1200
    ページ数21
    ジャーナルNumerical Functional Analysis and Optimization
    29
    発行部数9-10
    DOI
    出版物ステータスPublished - 2008 9

    Fingerprint

    Two-point Boundary Value Problem
    Boundary value problems
    Discretization
    Difference equations
    Boundary Value Problem
    Finite Difference Equation
    Diagonal matrix
    Tridiagonal matrix
    Unique Solution
    Partition

    ASJC Scopus subject areas

    • Analysis
    • Control and Optimization
    • Signal Processing
    • Computer Science Applications

    これを引用

    Discretization principles for linear two-point boundary value problems, III. / Yamamoto, Tetsuro; Oishi, Shinichi; Nashed, M. Zuhair; Li, Zi Cai; Fang, Qing.

    :: Numerical Functional Analysis and Optimization, 巻 29, 番号 9-10, 09.2008, p. 1180-1200.

    研究成果: Article

    Yamamoto, Tetsuro ; Oishi, Shinichi ; Nashed, M. Zuhair ; Li, Zi Cai ; Fang, Qing. / Discretization principles for linear two-point boundary value problems, III. :: Numerical Functional Analysis and Optimization. 2008 ; 巻 29, 番号 9-10. pp. 1180-1200.
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