Three-step iterative methods for numerical solution of systems of nonlinear equations

2020 ◽  
Author(s):  
Mehdi Dehghan ◽  
Akbar Shirilord
Keyword(s):  
Numerical Solution ◽  
Iterative Methods ◽  
Nonlinear Equations ◽  
Systems Of Nonlinear Equations

Numerical solution of nonlinear equations by an optimal eighth-order class of iterative methods

2012 ◽  
Vol 59 (1) ◽  
pp. 159-171 ◽  
Author(s):  
Fazlollah Soleymani ◽  
S. Karimi Vanani ◽  
Hani I. Siyyam ◽  
I. A. Al-Subaihi
Keyword(s):  
Numerical Solution ◽  
Iterative Methods ◽  
Nonlinear Equations ◽  
Eighth Order

SOME HIGH ORDER ITERATIVE METHODS FOR NONLINEAR EQUATIONS BASED ON THE MODIFIED HOMOTOPY PERTURBATION METHODS

2010 ◽  
Vol 03 (03) ◽  
pp. 395-408
Author(s):  
Bilian Chen ◽  
Yajun Xie ◽  
Changfeng Ma
Keyword(s):  
Nonlinear Equation ◽  
Iterative Methods ◽  
Nonlinear Equations ◽  
Perturbation Methods ◽  
Systems Of Nonlinear Equations ◽  
Convergence Criteria ◽  
Numerical Examples ◽  
Homotopy Perturbation ◽  
Nonlinear Equation Systems ◽  
High Order Iterative Methods

In this paper, we present some efficient iterative methods for solving nonlinear equation (systems of nonlinear equations, respectively) by using modified homotopy perturbation methods. We also discuss the convergence criteria of the present methods. Some numerical examples are given to illustrate the performance and efficiency of the proposed methods.

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