scholar.google.com › citations
In this paper, based on two families of methods (2), (4), we construct a new family of eighth-order methods free from second derivative.
The convergence order of these methods is eight, and consist of three evaluations of the function and one evaluation of the first derivative per iteration, so ...
A family of eighth-order iterative methods for the solution of nonlinear equations is presented. The new family of eighth-order methods is based on King's ...
We propose an optimal three-step method with eight-order convergence for finding the simple roots of nonlinear equations by Hermite interpolation method ...
Oct 22, 2024 · We propose an optimal three-step method with eight-order convergence for finding the simple roots of nonlinear equations by Hermite ...
A family of eighth-order iterative methods for the solution of nonlinear equations is presented. The new family of eighth-order methods is based on King's ...
The primary goal of this work is to provide a general optimal three-step class of iterative methods based on the schemes designed by Bi et al. (2009).
People also ask
What is the order of convergence of iterative methods?
What are the steps of iterative method?
What are the three iterative methods for solving second order nonlinear odes arising in physics?
What is iterative convergence?
To increase the convergence of method (3) so we can have an optimal eighth order, we will multiply the third step by H(v). 𝑦𝑛 = 𝑥𝑛 −. 𝑓 𝑥𝑛. 𝑓′ 𝑥𝑛. 1 +. 𝑓 𝑥𝑛.
In this paper, based on Ostrowski's method, a new family of eighth-order methods for solving nonlinear equations is derived. In terms of computational cost, ...
Nov 16, 2017 · Three-step iterative methods with eighth-order convergence for solving nonlinear equations. J. Comput. Appl. Math., 225: 105–112 (2009).