OnDynamics of Iterative Techniques for Nonlinear Equation with Applications in Engineering

Mudassir, Shams and Nazir Ahmad, Mir, and Naila, Rafiq and A. Othman, Almatroud and Saima, Akram (2020) OnDynamics of Iterative Techniques for Nonlinear Equation with Applications in Engineering. Mathematical Problems in Engineering, 2020 (585329): ID 5853296. pp. 1-17. ISSN 1024-123X,1563-5147

Other (PDF) MPE.pdf - Published Version Restricted to Registered users only until 25 December 2020. Available under License Creative Commons Attribution. Download (20MB) | Request a copy

Abstract

In this article, we construct an optimal family of iterative methods for finding the single root and then extend this family for
determining all the distinct as well as multiple roots of single-variable nonlinear equations simultaneously. Convergence analysis
is presented for both the cases to show that the optimal order of convergence is 4 in the case of single root finding methods and 6
for simultaneous determination of all distinct as well as multiple roots of a nonlinear equation. (e computational cost, basins of
attraction, efficiency, log of residual, and numerical test examples show that the newly constructed methods are more efficient as
compared to the existing methods in the literature.

Item Type:	Article
Additional Information:	Nil
Uncontrolled Keywords:	Non-linear equation, iterative methods;simultaneous methods,Dynamics
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering and Applied Sciences (FEAS) > Department of Basic Sciences Faisalabad
Depositing User:	Mr Mudassir Shams
Date Deposited:	26 Oct 2020 15:46
Last Modified:	26 Oct 2020 15:46
URI:	http://research.riphah.edu.pk/id/eprint/969

Actions (login required)

View Item