Transforming Ostrowski's method into a derivative-free method and its dynamics

The current research develops a derivative-free family without memory methods. The proposed method consisting of two steps and one parameter for solving nonlinear equations is brought forward.\,The basin of attraction of the proposed methods has investigated using different weight functions.\,Numerical examples are experimented with to check the performance of the proposed schemes. Furthermore, the theoretical order of convergence is confirmed on the experiment work.

Transforming Ostrowski's method into a derivative-free method and its dynamics Keywords:

Iterative method , Convergence order , Basin of attraction , Nonlinear equation

Transforming Ostrowski's method into a derivative-free method and its dynamics authors

Vali Torkashvand

Department of Mathematics, Farhangian University, Tehran, Iran

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Link to this Paper:

https://civilica.com/doc/1721719

Document National Code:

JR_CMCMA-2-1_001

Index date: 14 August 2023

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Torkashvand, Vali,1402,Transforming Ostrowski's method into a derivative-free method and its dynamics,https://civilica.com/doc/1721719

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Ranking of Farhangian University

Type of center: دانشگاه دولتی

Paper count: 45,496

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