Numerical method for verifying the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation

Teruya Minamoto, Mitsuhiro T. Nakao

研究成果: Article

5 引用 (Scopus)

抄録

A numerical verification method to confirm the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation is presented. Using certain systems of equations corresponding to a double turning point, we derive a sufficient condition for its existence whose satisfaction can be verified computationally. We describe verification procedures and give a numerical example as a demonstration.

元の言語English
ページ(範囲)177-185
ページ数9
ジャーナルJournal of Computational and Applied Mathematics
202
発行部数2
DOI
出版物ステータスPublished - 2007 5 15
外部発表Yes

Fingerprint

Radially Symmetric Solutions
Turning Point
Numerical methods
Uniqueness
Numerical Methods
Numerical Verification
System of equations
Demonstrations
Numerical Examples
Sufficient Conditions

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

これを引用

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KW - Fixed point theorem

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KW - Two-parameter dependent nonlinear problem

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