Stability Analysis of Simple Root Seeker for Nonlinear Equation
نویسندگان
چکیده
In this paper, the stability of a class Liu–Wang’s optimal eighth-order single-parameter iterative methods for solving simple roots nonlinear equations was studied by applying them to arbitrary quadratic polynomials. Under Riemann sphere and scaling theorem, complex dynamic behavior method analyzed fractals. We discuss all fixed points parameter spaces starting from critical with Mathematica software. The dynamical planes elements good bad are given, element stable obtained. Finally, numerical experiment practical application were carried out prove conclusion.
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ژورنال
عنوان ژورنال: Axioms
سال: 2023
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms12020215