Dynamical Analysis via Möbius Conjugacy Map on a Uniparametric Family of Optimal Fourth-Order Multiple-Zero Solvers with Rational Weight Functions

Young Ik Kim and Young Hee Geum

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-19

Abstract:

A triparametric family of fourth-order multiple-zero solvers have been proposed. In this paper, we select among them a uniparametric family of optimal fourth-order multiple-zero solvers with rational weight functions and pursue their dynamics by exploring the relevant parameter spaces and dynamical planes, by means of Möbius conjugacy map applied to a prototype polynomial of the form . The resulting dynamics is best illustrated through various stability surfaces and parameter spaces as well as dynamical planes.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7486125

DOI: 10.1155/2018/7486125

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