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

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)177-185
Number of pages9
JournalJournal of Computational and Applied Mathematics
Volume202
Issue number2
DOIs
Publication statusPublished - 2007 May 15
Externally publishedYes

Fingerprint

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

Keywords

  • Double turning point
  • Extended system
  • Fixed point theorem
  • Numerical computation with guaranteed accuracy
  • Perturbed Gelfand equation
  • Two-parameter dependent nonlinear problem

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Numerical method for verifying the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation. / Minamoto, Teruya; Nakao, Mitsuhiro T.

In: Journal of Computational and Applied Mathematics, Vol. 202, No. 2, 15.05.2007, p. 177-185.

Research output: Contribution to journalArticle

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