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

Autor: Mudassir Shams, Naila Rafiq, Babar Ahmad, Nazir Ahmad Mir
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Mathematics, Vol 2021 (2021)
Druh dokumentu: article
ISSN: 2314-4629
2314-4785
DOI: 10.1155/2021/6643514
Popis: 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.
Databáze: Directory of Open Access Journals
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