AN EFFICIENT METHOD FOR SOLVING TWO-POINT BOUNDARY VALUE PROBLEMS WITH EXTREMELY HIGH ACCURACY
スポンサーリンク
概要
- 論文の詳細を見る
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.
- 社団法人 化学工学会の論文
- 1996-02-20
著者
-
FUJIWARA Satoshi
Department of Forensic Medicine, Yokohama City University, Graduate School of Medicine
-
Shiraishi Fumihide
Department Of Biochemical Engineering And Science Faculty Of Computer Science Adn Systems Engineerin
-
Shiraishi Fumihide
Department Of Biochemical Engineering And Science Kyushu Institute Of Technology
-
Fujiwara Satoshi
Department Of Biochemical Engineering And Science Kyushu Institute Of Technology
関連論文
- Intraorbital Encephalocele in an Adult Patient Presenting With Pulsatile Exophthalmos : Case Report
- The sentence and Kyukei in Japanese criminal procedure, especially in domestic homicide cases
- Numerical Tests for Usefulness of Power-Law Formalism Method in Parameter Optimization Problem of Immobilized Enzyme Reaction
- NUMERICAL SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEM BY COMBINED TAYLOR SERIES METHOD WITH A TECHNIQUE FOR RAPIDLY SELECTING SUITABLE STEP SIZES
- ACCURACY OF THE NUMERICAL SOLUTION OF A TWO-POINT BOUNDARY VALUE PROBLEM BY THE ORTHOGONAL COLLOCATION METHOD
- Diffusional and Electrostatic Effects on Apparent Kinetic Parameters of Reactions Catalyzed by Enzyme Immobilized on the External Surface of a Support
- Enzymatic Hydrolysis of Soluble Starch in a Polyethylene Glycol-Dextran Aqueous Two-Phase System
- AN EFFICIENT METHOD FOR SOLVING TWO-POINT BOUNDARY VALUE PROBLEMS WITH EXTREMELY HIGH ACCURACY
- Influences of Nonuniform Activity Distributions on the Apparent Maximum Reaction Rate and Apparent Michaelis Constant of Immobilized Enzyme Reactions