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

Shams,, Mudassir and Rafiq, Naila and Ahmad,, Babar and Mir, Nazir Ahmad (2021) Inverse Numerical Iterative Technique for Finding all Roots of Nonlinear Equations with Engineering Applications. Journal of Mathematics, 2021: 6643514. pp. 1-10. ISSN 23144785, 23144629

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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.

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