Title of article
Some Improvments of The Cordero-Torregrosa Method for The Solution of Nonlinear Equations
Author/Authors
Mohamadizade, M Department of Applied Mathematics - Hamedan Branch - Islamic Azad University - Hamadan, Iran , Lotfi, T Department of Applied Mathematics - Hamedan Branch - Islamic Azad University - Hamadan, Iran , Amirfakhriyan, M Department of Mathematics - Central Tehran Branch - Islamic Azad University - Tehran, Iran
Pages
9
From page
333
To page
341
Abstract
In this paper, two adaptive methods with memory are improved based on Cordero- Torregrosa method. The technique of adaptive method increases the efficiency index as high as possible. The new derivative free methods have possessed the convergence order 7.46315 and 7.99315, and they only use the information from the last two iterations. Finally, we provide convergence analysis and numerical examples to illustrate the proposed methods.
Keywords
Nonlinear equation , Iterative methods , The method without and with memory , Efficiency index , Adaptive method , Convergence orde
Journal title
International Journal of Industrial Mathematics(IJIM)
Serial Year
2021
Record number
2699121
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