A Study of the Numerical Solution of an Equation

スポンサーリンク

概要

• 論文の詳細を見る

• A new numerical method for computing the roots of an equation is proposed. By this merhod, we set up technically an auxiliary equation, the roots of which are known to us, corresponding to the given equation, and then introduce a parameter by which the roots of the original equation are connected with those of the auxiliary equation in a one-to-one relationship and continuously. Finally, we solve numerically an initial value problam of a first-order differential equation.In order to show how to apply this method to actual problems, and in order to demonstrate the usefulness of the method, several problems, such as the numerical solutions of algebraic equations or the computation of the natural frequencies of the lateral vibrations of a continuous beam, are considered.The programming for an electronic computer is very easy, and one program can be utilized for general use by giving the values of the constants included in the equation as the input data.

• 一般社団法人日本機械学会の論文

著者

• Kuroda Michio

  College Of Technology Seikei University

関連論文

• A Study of the Numerical Solution of an Equation
• Periodic Solutions of the Free Vibration of a Two Degree-of-Freedom Nonlinear Spring-Mass System
• An Analysis of a Multi-Degree-of-Freedom System by a Dividing Method
• A Dividing Analysis of the Principal Vibrations of Multi-Degree-of-Freedom Linear Vibrating Systems

スポンサーリンク