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New third order convergence iterative method for finding multiple roots of nonlinear equations


Citation

Jamaludin, Nur Alif Akid and Nik Long, Nik Mohd Asri and Salimi, Mehdi and Ismail, Fudziah (2018) New third order convergence iterative method for finding multiple roots of nonlinear equations. Discovering Mathematics, 40 (2). 64 - 71. ISSN 2231-7023

Abstract

In this paper, we derive a new modified third order convergence iterative methods for computing multiple roots of non-linear equations. Our proposed scheme requires one evaluation of function and two evaluations of first derivative. Error term is proved to possess a third order. Numerical performance shows that the proposed method provides a highest accuracy results as compared to other existing third order iterative methods.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: Malaysian Mathematical Sciences Society and Universiti Putra Malaysia
Keywords: Multi-point iterative methods; Multiple roots; Nonlinear equations; Order of convergence
Depositing User: Mr. Sazali Mohamad
Date Deposited: 28 Nov 2019 05:38
Last Modified: 28 Nov 2019 05:38
URI: http://psasir.upm.edu.my/id/eprint/75076
Statistic Details: View Download Statistic

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