scholarly journals A Unified Framework for the Construction of Higher-order Methods for Nonlinear Equations~!2009-10-14~!2010-01-13~!2010-04-14~!

2010 ◽  
Vol 2 (1) ◽  
pp. 6-11 ◽  
Author(s):  
Wei Li ◽  
Hong Chen
Keyword(s):  
Nonlinear Equations ◽  
Higher Order ◽  
Unified Framework ◽  
Higher Order Methods

scholarly journals Higher Order Methods for Nonlinear Equations and Their Basins of Attraction

Mathematics ◽  
2016 ◽  
Vol 4 (2) ◽  
pp. 22 ◽  
Author(s):  
Kalyanasundaram Madhu ◽  
Jayakumar Jayaraman
Keyword(s):  
Nonlinear Equations ◽  
Basins Of Attraction ◽  
Higher Order ◽  
Higher Order Methods

A Comparison of Higher-Order Methods on a Set of Canonical Aerodynamics Applications

2011 ◽  
Author(s):  
Julie Andren ◽  
Haiyang Gao ◽  
Masayuki Yano ◽  
David Darmofal ◽  
Carl Ollivier Gooch ◽  
...  
Keyword(s):  
Higher Order ◽  
Higher Order Methods

scholarly journals Metode Iterasi Tiga Langkah untuk Menyelesaikan Persamaan NonLinear dengan Menggunakan Matlab

2019 ◽  
Vol 4 (2) ◽  
pp. 34
Author(s):  
Deasy Wahyuni ◽  
Elisawati Elisawati
Keyword(s):  
Numerical Simulations ◽  
Nonlinear Equations ◽  
Newton Method ◽  
Iteration Method ◽  
Newton's Method ◽  
Order Of Convergence ◽  
Higher Order ◽  
Convergence Order ◽  
Matlab Program ◽  
Analytical Results

Newton method is one of the most frequently used methods to find solutions to the roots of nonlinear equations. Along with the development of science, Newton's method has undergone various modifications. One of them is the hasanov method and the newton method variant (vmn), with a higher order of convergence. In this journal focuses on the three-step iteration method in which the order of convergence is higher than the three methods. To find the convergence order of the three-step iteration method requires a program that can support the analytical results of both methods. One of them using the help of the matlab program. Which will then be compared with numerical simulations also using the matlab program.  Keywords : newton method, newton method variant, Hasanov Method and order of convergence

scholarly journals On mappings of higher order and their applications to nonlinear equations

2012 ◽  
Vol 11 (2) ◽  
pp. 627-647 ◽  
Author(s):  
Dariusz Bugajewski ◽  
◽  
Piotr Kasprzak ◽  
Keyword(s):  
Nonlinear Equations ◽  
Higher Order

scholarly journals A family of higher order iterations free from second derivative for nonlinear equations inR

2018 ◽  
Vol 330 ◽  
pp. 676-694 ◽  
Author(s):  
Abhimanyu Kumar ◽  
P. Maroju ◽  
R. Behl ◽  
D.K. Gupta ◽  
S.S. Motsa
Keyword(s):  
Nonlinear Equations ◽  
Higher Order ◽  
Second Derivative
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