An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs

2015 ◽  
Vol 250 ◽  
pp. 249-259 ◽  
Author(s):  
Malik Zaka Ullah ◽  
Stefano Serra-Capizzano ◽  
Fayyaz Ahmad
Keyword(s):  
Iterative Method ◽  
Numerical Solution ◽  
Nonlinear Equations ◽  
Systems Of Nonlinear Equations

scholarly journals On a New Method for Computing the Numerical Solution of Systems of Nonlinear Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
H. Montazeri ◽  
F. Soleymani ◽  
S. Shateyi ◽  
S. S. Motsa
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Order Of Convergence ◽  
Efficiency Index ◽  
The Other ◽  
Systems Of Nonlinear Equations ◽  
System Of Nonlinear Equations ◽  
Numerical Tests ◽  
Programming Package ◽  
New Iterative Method

We consider a system of nonlinear equationsF(x)=0. A new iterative method for solving this problem numerically is suggested. The analytical discussions of the method are provided to reveal its sixth order of convergence. A discussion on the efficiency index of the contribution with comparison to the other iterative methods is also given. Finally, numerical tests illustrate the theoretical aspects using the programming package Mathematica.

scholarly journals A Preconditioned Iterative Method for Solving Systems of Nonlinear Equations Having Unknown Multiplicity

Algorithms ◽  
2017 ◽  
Vol 10 (1) ◽  
pp. 17 ◽  
Author(s):  
Fayyaz Ahmad ◽  
Toseef Bhutta ◽  
Umar Shoaib ◽  
Malik Zaka Ullah ◽  
Ali Alshomrani ◽  
...  
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Systems Of Nonlinear Equations ◽  
Preconditioned Iterative

scholarly journals Erratum: Ahmad, F., et al. A Preconditioned Iterative Method for Solving Systems of Nonlinear Equations Having Unknown Multiplicity. Algorithms 2017, 10, 17

Algorithms ◽  
2017 ◽  
Vol 10 (2) ◽  
pp. 55
Author(s):  
Fayyaz Ahmad ◽  
Toseef Bhutta ◽  
Umar Shoaib ◽  
Malik Ullah ◽  
Ali Alshomrani ◽  
...  
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Systems Of Nonlinear Equations ◽  
Preconditioned Iterative

scholarly journals Frozen jacobian iterative method for solving systems of nonlinear equations application to nonlinear IVPs and BVPs

2016 ◽  
Vol 09 (12) ◽  
pp. 6021-6033 ◽  
Author(s):  
Malik Zaka Ullah ◽  
Fayyaz Ahmad ◽  
Ali Saleh Alshomrani ◽  
A. K. Alzahrani ◽  
Metib Said Alghamdi ◽  
...  
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Systems Of Nonlinear Equations
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