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Various Iterative Methods for Solving Nonlinear Equation

Mohammed Rasheed, Suha SHIHAB, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamed, Saja saber Abdulwahhab

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

Abstract

In recent articles, many researchers settled some refinements in iterative methods have been published in many scientific journals for solving nonlinear equations of a single diode mode of a solar cell. Thus, in our article, we have improved these numerical algorithms. We have compared the new iterative algorithm "Dekker's Algorithm" with other iterative of sixth order convergence methods; which appears that this new proposed method is a strong one. Many numerical examples are presented to clarify the accuracy, efficiency and performance of the new proposed method.

Topics & Concepts

Iterative methodConvergence (economics)Nonlinear systemLocal convergenceComputer scienceApplied mathematicsAlgorithmNumerical analysisMathematical optimizationMathematicsMathematical analysisPhysicsEconomicsQuantum mechanicsEconomic growthThermal Radiation and Cooling TechnologiesIterative Methods for Nonlinear EquationsSolar Thermal and Photovoltaic Systems
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