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An Accelerated Algorithm for Finding Roots of Nonlinear Equation

Suha SHIHAB, Mohammed Rasheed, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamed, Noghanian Toroghi Manoochehr

2021Journal of Al-Qadisiyah for Computer Science and Mathematics20 citationsDOIOpen Access PDF

Abstract

This paper concerns with a new numerical iterative method for finding the approximate solutions deals with the nonlinear equations of a solar cell (single-diode) formula associated with equivalent electrical circuit. The iterative method suggested here is free from second derivative of the function. The present study proposes to show that this new root-finding algorithm combined with a standard iterative method is capable to give an accurate solution of zero's function than classical method. Numerical experiments of the improved iterative method is analyzed and discussed on nonlinear equations.

Topics & Concepts

Nonlinear systemIterative methodAlgorithmMathematicsFunction (biology)Derivative (finance)Zero (linguistics)Numerical analysisApplied mathematicsComputer scienceMathematical analysisPhysicsBiologyPhilosophyEconomicsLinguisticsQuantum mechanicsFinancial economicsEvolutionary biologyIterative Methods for Nonlinear Equations