Litcius/Paper detail

Some Step Methods Applied to Nonlinear Equation

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

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

Abstract

In the present work, we exhibit a third order family of a new iteration method Dekker's and Classic Chord methods for solving nonlinear equations of single diode solar cell model. These methods have free from computation of second order derivatives of the functions and per iteration, one estimation of the function; while just two evaluations involving it is first derivative. Analysis of this family of these numerical methods investigates that it is iterative solution is convergence. Some numerical examples are introduced to show the accuracy, efficiency and good performance of the proposed method.

Topics & Concepts

ComputationConvergence (economics)Applied mathematicsNonlinear systemIterative methodMathematicsNumerical analysisFixed-point iterationComputer scienceMathematical optimizationFunction (biology)AlgorithmMathematical analysisFixed pointPhysicsEvolutionary biologyEconomicsEconomic growthQuantum mechanicsBiologyIterative Methods for Nonlinear EquationsSolar Thermal and Photovoltaic SystemsThermal Radiation and Cooling Technologies