Finding Roots of Nonlinear Equation for Optoelectronic Device. Issue 1 (September 2021)

• Record Type: Journal Article
• Authors: Rasheed, Mohammed; Shihab, Suha; Alabdali, Osama; Rashid, Ahmed; Rashid, Taha
• Is Part Of: Journal of physics. Volume 1999:Issue 1(2021)
• Publication Date: 2021-09
• Subjects: Dekker's Formula -- Predictor-Corrector Type (A2) -- Predictor-Corrector Type (A1) -- f(x) = 0 -- absolute error -- roots of the equation; Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1999/1/012077
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: New three iterative methods in order to solve non-linear problems for PV cell equations with various data of R (load resistance) have been investigated. A series of hybrid algorithms Newton's, Predictor-Corrector Type (A1), Predictor-Corrector Type (A2) and Dekker's are implemented to obtain approximate solutions for non-linear functions. The purpose of the present paper is to analysis on numerical comparison between the standard Newton's algorithm with A1, A2 and DM algorithms. It is evidenced that these methods have nearly eight computations while; the proposed method has six computations per iteration. The Numerical and illustrative results reveal that the new suggested technique (DM) is more accurate, least iterations for convergence than other numerical methods and a computational Matlab 18a is used for this paper.