Method of Nonlinear Transformation for Obtaining Approximate Analytic Solution of Nonlinear Ordinary Differential Equation. II

Hidetoshi Konno; Naoshi Yamamoto; Peter S. Lomdahl

doi:10.1143/jpsj.69.362

Hidetoshi Konno, Naoshi Yamamoto, Peter S. Lomdahl

著者情報

キーワード: nonlinear transformation, double exponential function, approximate analytic solution, nonlinear third order ordinary differential equation, harmonic balance method

ジャーナル認証あり

2000 年 69 巻 2 号 p. 362-368

DOI https://doi.org/10.1143/jpsj.69.362

詳細

抄録

It is shown that the method of nonlinear transformation (NTR) is a powerful tool for obtaining approximate analytic solutions of nonlinear ordinary differential equations (ODEs). Special attention is paid to the performance of a family of double exponential NTRs. Applications of the double exponential NTRs to some nonlinear third order ODEs in the normal form are given with numerical examples.

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