ADVANCES IN DIFFERENCE EQUATIONS, vol.2021, no.1, 2021 (Journal Indexed in SCI)
Article / Article
Title of Journal :
ADVANCES IN DIFFERENCE EQUATIONS
Numerical scheme, Polynomials, Computational efficiency, CPU-time, Convergence order, ROOT-FINDING METHODS, ITERATIVE METHODS, SIMULTANEOUS APPROXIMATION, NONLINEAR EQUATIONS, CONVERGENCE, ZEROS, DISTINCT
A highly efficient new three-step derivative-free family of numerical iterative schemes for estimating all roots of polynomial equations is presented. Convergence analysis proved that the proposed simultaneous iterative method possesses 12th-order convergence locally. Numerical examples and computational cost are given to demonstrate the capability of the method presented.