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Iterative Methods for Finding Roots of Nonlinear Equations

Mohammed Rasheed, Suha SHIHAB, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamed, Yasir Ahmed Ridha AL-Sabbagh

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

Abstract

In the present work, two iterative techniques have been displayed in order to solve non-linear equation. These two techniques are free from second derivative and per evaluation; they require five and six iterations with a first derivative of the function. Analysis of the PV model has been studied in term of function evaluations appears that the proposed technique is superior. It is practical interest is investigated by some numerical examples.

Topics & Concepts

Derivative (finance)Iterative methodNonlinear systemApplied mathematicsTerm (time)Function (biology)MathematicsWork (physics)Local convergenceRoot-finding algorithmNumerical analysisComputer scienceMathematical optimizationAlgorithmMathematical analysisEngineeringPhysicsMechanical engineeringBiologyEvolutionary biologyEconomicsQuantum mechanicsFinancial economicsIterative Methods for Nonlinear EquationsAdvanced Optimization Algorithms ResearchNumerical Methods and Algorithms
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