On Family of Simultaneous Method for Finding Distinct as Well as Multiple Roots of Non-linear Equation

Mir, Nazir Ahmad and Shams,, Mudassir and Rafiq, Naila and Akram, Saima and Ahmed, Rafiq (2020) On Family of Simultaneous Method for Finding Distinct as Well as Multiple Roots of Non-linear Equation. Punjab University Journal of Mathematics, 52 (6). pp. 31-44. ISSN 1016-2526

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Abstract

We construct a family of 2-step simultaneous methods for determining
all the distinct roots of single variable non-linear equations. We
further extend this family of simultaneous methods to the case of multiple
roots. It is proved that both the family of methods are of convergence order
eight and has better computation efficiency as compared to some other
simultaneous methods in the literature. At the end, numerical test examples
are given to demonstrate the efficiency and performance of the newly
constructed simultaneous methods.

Item Type: Article
Additional Information: Nil
Uncontrolled Keywords: Distinct roots, Multiple roots, Non-Linear equation, Iterative methods, Simultaneous Methods, Computational Efficiency.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Applied Sciences (FEAS) > Department of Basic Sciences Islamabad
Depositing User: Mr Mudassir Shams
Date Deposited: 26 Oct 2020 15:51
Last Modified: 26 Oct 2020 15:51
URI: http://research.riphah.edu.pk/id/eprint/1019

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