A Geometric Method for the Numerical Solution of Nonlinear Equations and Its Application to Nonlinear Oscillations

Yoshitane Shinohara

Publications of the Research Institute for Mathematical Sciences · 1972 · 27 citations · 4 references

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Abstract

in a bounded region. But in these papers he did not describe the techniques of programming for the method proposed. In the present paper, the techniques of programming will be described and a program written in FORTRAN will be presented. This program is tested on a system consisting of five algebraic equations. Lastly, in illustration, will be shown an application of our program to the computation of subharmonic solutions of Buffing's equation. The author expresses his hearty gratitude to Professor M. Urabe for his constant advice and encouragement. The author also wishes to acknowledge the assistance of Miss. T. Takahashi, Mr. Y. Kono and Mr. Y. Nakatani in the computer room of the RIMS, Kyoto University.

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