One parameter fifth order family of iterative methods for solving nonlinear Equations and Basins of Attraction
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Date
2022
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NeuroQuantology Volume 20 Issue 11 Page 8973-8986
Abstract
In this study, we develop one-parameter family of fifth order iterative scheme for finding simple zeros of nonlinear
equations. In terms of computational cost, this proposed scheme involves four evaluations of the given function
and its first-order derivative per iteration. Various numerical examples are demonstrated to compare the
performance of developed scheme with existing schemes of same order. To verify how well our scheme works in
practise, we apply them to solve the Van der Waals equation of state. Moreover, the dynamics of the proposed
method is demonstrated and compare it with other existing fifth order iterative methods.