Generalized Newton Raphsons method free from second derivative
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Authors
Waqas Nazeer
- Division of Science and Technology, University of Education, Lahore 54000, Pakistan.
Amir Naseem
- Department of Mathematics, Lahore Leads University, Lahore 54810, Pakistan.
Shin Min Kang
- Department of Mathematics and the RINS, Gyeongsang National University, Jinju 52828, South Korea.
Young Chel Kwun
- Department of Mathematics, Dong-A University, Busan 49315, South Korea.
Abstract
In this paper, we suggest and analyze two new iterative methods for solving nonlinear scalar equations
namely: the modified generalized Newton Raphson's method and generalized Newton Raphson's method
free from second derivative are having convergence of order six and five respectively. We also give several
examples to illustrate the efficiency of these methods.
Share and Cite
ISRP Style
Waqas Nazeer, Amir Naseem, Shin Min Kang, Young Chel Kwun, Generalized Newton Raphsons method free from second derivative, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2823--2831
AMA Style
Nazeer Waqas, Naseem Amir, Kang Shin Min, Kwun Young Chel, Generalized Newton Raphsons method free from second derivative. J. Nonlinear Sci. Appl. (2016); 9(5):2823--2831
Chicago/Turabian Style
Nazeer, Waqas, Naseem, Amir, Kang, Shin Min, Kwun, Young Chel. "Generalized Newton Raphsons method free from second derivative." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2823--2831
Keywords
- Nonlinear equations
- Newton's method
- generalized Newton Raphson's method
- Halley's method
MSC
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