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Multistep Iterative Algorithms for Solving Nonlinear Equation

Mohammed Rasheed, Suha SHIHAB, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamed, Farazdack Fawzi Hamed Alshebeeb

2021Journal of Al-Qadisiyah for Computer Science and Mathematics21 citationsDOIOpen Access PDF

Abstract

We present two new iterative methods, called the Secant and Dekker's Algorithms for solving nonlinear equations in this paper. These equations based on different values of load resistance R of a single diode scheme. We examined the effectiveness of these iterative methods by approximating the simple zeros of afford nonlinear equations. The approximate solutions of the numerical methods are accurate, stable, consistent and easy to use.

Topics & Concepts

Nonlinear systemIterative methodSimple (philosophy)AlgorithmMathematicsApplied mathematicsNewton's methodScheme (mathematics)Local convergenceSecant methodComputer scienceMathematical analysisPhysicsQuantum mechanicsPhilosophyEpistemologyPhotonic and Optical DevicesAdvanced Fiber Optic SensorsOptical and Acousto-Optic Technologies