Inverse Numerical Iterative Technique for Finding all Roots of Nonlinear Equations with Engineering Applications

Author:

Shams Mudassir1ORCID,Rafiq Naila2ORCID,Ahmad Babar3,Mir Nazir Ahmad1

Affiliation:

1. Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan

2. Department of Mathematics, NUML, Islamabad, Pakistan

3. Department of Mathematics, Comsats University Islamabad, Islamabad 44000, Pakistan

Abstract

We introduce here a new two-step derivate-free inverse simultaneous iterative method for estimating all roots of nonlinear equation. It is proved that convergence order of the newly constructed method is four. Lower bound of the convergence order is determined using Mathematica and verified with theoretical local convergence order of the method introduced. Some nonlinear models which are taken from physical and engineering sciences as numerical test examples to demonstrate the performance and efficiency of the newly constructed modified inverse simultaneous methods as compared to classical methods existing in literature are presented. Dynamical planes and residual graphs are drawn using MATLAB to elaborate efficiency, robustness, and authentication in its domain.

Publisher

Hindawi Limited

Subject

General Mathematics

Reference28 articles.

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