Some New Three Step Iterative Methods for Solving Nonlinear Equation Using Steffensen’s and Halley Method
Najmuddin Ahmad, Vimal Pratap Singh
Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 18 Oct 2016
10.9734/BJMCS/2016/29322Abstract
In this paper, we introduce the comparative study of new three step iterative methods for finding the zeros of the nonlinear equation f(x) = 0. The new method based on the Steffensen’s method and Halley method with using predictor – corrector technique. It is established that the new method (NTSM-1) has convergence order sixth and second new method (NTSM-2) has convergence order seventh. Numerical tests show that the new methods is comparable with the well known existing methods and gives better results.
Cited by 3
FAUZIA SHAHEEN, NAJMUDDIN AHMAD · Journal of Science and Arts · 2023
Saima Akram, Fiza Zafar, Nusrat Yasmin · Mathematics · 2019
Najmuddin Ahmad, Vimal Pratap Singh · Malaya Journal of Matematik · 2020
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