SIMPLICIAL HOMOTOPY METHOD FOR THE SOLUTION OF NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS.

Kiyotaka Yamamura, Shinichi Oishi, Kazuo Horiuchi

    Research output: Contribution to journalArticle

    Abstract

    This paper proposes an efficient numerical method for the solution of nonlinear two-point boundary value problems, based on the simplicial homotopy method and the decomposition technique. It is shown first that the system of equations to consider can always be reduced to the system of equations with lower dimension, by applying the decomposition technique to the system of finite difference equations. An efficient mesh refinement strategy is proposed, taking into consideration the accuracy of the simplicial approximation.

    Original languageEnglish
    Pages (from-to)40-48
    Number of pages9
    JournalElectronics and Communications in Japan, Part I: Communications (English translation of Denshi Tsushin Gakkai Ronbunshi)
    Volume68
    Issue number11
    Publication statusPublished - 1985 Nov

    Fingerprint

    Boundary value problems
    Decomposition
    Difference equations
    Numerical methods

    ASJC Scopus subject areas

    • Computer Networks and Communications
    • Electrical and Electronic Engineering

    Cite this

    @article{a9b51f91d61e4d94a028dec676df3e29,
    title = "SIMPLICIAL HOMOTOPY METHOD FOR THE SOLUTION OF NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS.",
    abstract = "This paper proposes an efficient numerical method for the solution of nonlinear two-point boundary value problems, based on the simplicial homotopy method and the decomposition technique. It is shown first that the system of equations to consider can always be reduced to the system of equations with lower dimension, by applying the decomposition technique to the system of finite difference equations. An efficient mesh refinement strategy is proposed, taking into consideration the accuracy of the simplicial approximation.",
    author = "Kiyotaka Yamamura and Shinichi Oishi and Kazuo Horiuchi",
    year = "1985",
    month = "11",
    language = "English",
    volume = "68",
    pages = "40--48",
    journal = "Electronics and Communications in Japan, Part I: Communications (English translation of Denshi Tsushin Gakkai Ronbunshi)",
    issn = "8756-6621",
    publisher = "John Wiley and Sons Inc.",
    number = "11",

    }

    TY - JOUR

    T1 - SIMPLICIAL HOMOTOPY METHOD FOR THE SOLUTION OF NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS.

    AU - Yamamura, Kiyotaka

    AU - Oishi, Shinichi

    AU - Horiuchi, Kazuo

    PY - 1985/11

    Y1 - 1985/11

    N2 - This paper proposes an efficient numerical method for the solution of nonlinear two-point boundary value problems, based on the simplicial homotopy method and the decomposition technique. It is shown first that the system of equations to consider can always be reduced to the system of equations with lower dimension, by applying the decomposition technique to the system of finite difference equations. An efficient mesh refinement strategy is proposed, taking into consideration the accuracy of the simplicial approximation.

    AB - This paper proposes an efficient numerical method for the solution of nonlinear two-point boundary value problems, based on the simplicial homotopy method and the decomposition technique. It is shown first that the system of equations to consider can always be reduced to the system of equations with lower dimension, by applying the decomposition technique to the system of finite difference equations. An efficient mesh refinement strategy is proposed, taking into consideration the accuracy of the simplicial approximation.

    UR - http://www.scopus.com/inward/record.url?scp=0022162881&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0022162881&partnerID=8YFLogxK

    M3 - Article

    AN - SCOPUS:0022162881

    VL - 68

    SP - 40

    EP - 48

    JO - Electronics and Communications in Japan, Part I: Communications (English translation of Denshi Tsushin Gakkai Ronbunshi)

    JF - Electronics and Communications in Japan, Part I: Communications (English translation of Denshi Tsushin Gakkai Ronbunshi)

    SN - 8756-6621

    IS - 11

    ER -