On developing a new three accelerators iterative method for solving nonlinear equation
Publish place: The International Scientific Conference on Challenges in Engineering, Technology and Applied Sciences
Publish Year: 1396
Type: Conference paper
Language: English
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Document National Code:
ICCEAS01_031
Index date: 17 August 2018
On developing a new three accelerators iterative method for solving nonlinear equation abstract
In this study, based on the first three steps of the optimal iterative method without memory introduced by Zheng et al. [16], we develop a new three accelerators method with memory for approximating a simple zero of a nonlinear equation. To this end, we introduce three parameters and try to update them in each iteration so that without any new function evaluations the convergence order increases from eight to fifteen.This is the primal goal of this work. Theoretical and numerical discussions for the proposed method are given.
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On developing a new three accelerators iterative method for solving nonlinear equation authors
Paria Assari
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran