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Some Step Iterative Method for Finding Roots of a Nonlinear Equation

Mohammed Rasheed, Suha SHIHAB, Taha Rashid, Marwa Enneffati

2021Journal of Al-Qadisiyah for Computer Science and Mathematics42 citationsDOIOpen Access PDF

Abstract

In this paper, we suggest and analyze some new iterative method free from second derivative for solving nonlinear equations for PV cell. By iteration, first one requires nine evaluations while the second one needs seven evaluations of the function and one of its first derivative with good efficiency. Many experiments are presented for showing the performance and efficiency of these numerical techniques. Proposed method perhaps sighted as an alternative to the standard and known methods.

Topics & Concepts

Nonlinear systemIterative methodDerivative (finance)Function (biology)Applied mathematicsComputer scienceMathematical optimizationMathematicsRoot-finding algorithmAlgorithmPhysicsQuantum mechanicsEvolutionary biologyBiologyFinancial economicsEconomicsIterative Methods for Nonlinear EquationsAdaptive optics and wavefront sensingAdvanced Optimization Algorithms Research
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