AN EFFICIENT METHOD FOR SOLVING TWO-POINT BOUNDARY VALUE PROBLEMS WITH EXTREMELY HIGH ACCURACY

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著者

    • SHIRAISHI Fumihide
    • Department of Biochemical Engineering and Science, Kyushu Institute of Technology
    • FUJIWARA Satoshi
    • Department of Biochemical Engineering and Science, Kyushu Institute of Technology

抄録

A novel numerical method for solving two-point boundary value problems is presented. This method utilizes a recasting technique for transformation of fundamental differential equations into S-system (synergistic and saturable system) canonical form that consists of a set of simultaneous first-order differential equations, an efficient computational algorithm that was proposed to numerically solve the S-system differential equations, and the shooting method. A two-point boundary value problem associated with an immobilized enzyme reaction was investigated as a model system, and it was found that the accuracy of numerical solutions obtained by the proposed method was almost the same as the accuracy of the computer. Another advantage of the proposed method is that it enables one to write a generalized computer program for two-point boundary value problems. With such a program, the user can solve different types of two-point boundary value problems by just imputing S-system parameters that are obtained by recasting their fundamental differential equations.

収録刊行物

  • Journal of chemical engineering of Japan

    Journal of chemical engineering of Japan 29(1), 88-94, 1996-02-20

    The Society of Chemical Engineers, Japan

参考文献:  17件中 1-17件 を表示

被引用文献:  1件中 1-1件 を表示

各種コード

  • NII論文ID(NAID)
    10003813455
  • NII書誌ID(NCID)
    AA00709658
  • 本文言語コード
    ENG
  • 資料種別
    ART
  • ISSN
    00219592
  • データ提供元
    CJP書誌  CJP引用  J-STAGE 
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