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Research Article Open access CC BY 4.0

New Fourth-order Schroder-type Methods for Finding Zeros of Nonlinear Equations Having Unknown Multiplicity

R. Thukral

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 18 Nov 2015

10.9734/BJMCS/2016/21820

Abstract

In this paper we define two new fourth-order Schroder-type methods for finding zeros of nonlinear equations having unknown multiplicity. In terms of computational cost the new iterative methods requires six evaluations of functions per iteration. It is proved that the new methods have a convergence of order four. Numerical comparisons are included to demonstrate exceptional convergence speed of the proposed methods.

Schroder-type method root-finding nonlinear equations multiple roots order of convergence efficiency index.

Cited by 3

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Rahmadhani Yulmi Putri, Wartono Wartono · AKSIOMA : Jurnal Matematika dan Pendidikan Matematika · 2020

Quadrature based innovative techniques concerning nonlinear equations having unknown multiplicity

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