A Novel Iteration Class for Solution of Nonlinear Equation
American Journal of Applied Mathematics
Volume 2, Issue 5, October 2014, Pages: 186-190
Received: Oct. 3, 2014; Accepted: Oct. 16, 2014; Published: Oct. 30, 2014
Views 2721      Downloads 204
Author
Hamideh Eskandari, Department of Mathematics, Payame Noor University, Isfahan, I. R. Iran
Article Tools
Follow on us
Abstract
In this paper, one of the most fundament problems in numerical analysis has designed that it is found roots of equation f(x)=0 with variable x. In different articles and books, many several of methods exist for solving non algebra equations. Here, we present a class of Halley method and Chebyshev method from second derivatives for solving non algebra equations. In fact, it can be said that the best and the most convenient solution is the Newton method. We have this new method called class of Halley-Chebyshev method that this method also has second derivatives.
Keywords
Non Algebra Equation, Newton Method, Hybrid Method, Halley Method, Chebyshev Method
To cite this article
Hamideh Eskandari, A Novel Iteration Class for Solution of Nonlinear Equation, American Journal of Applied Mathematics. Vol. 2, No. 5, 2014, pp. 186-190. doi: 10.11648/j.ajam.20140205.16
References
[1]
Jisheng Kou, Yitian Li, Xiuhua Wang, On modified Newton methods with cubic convergence, Applied Mathematics and Computation, 176 (2006) 123–127.
[2]
Jisheng Kou, Yitian Li, Xiuhua Wang, A uniparametric Chebyshev-type method free from second derivatives, Applied Mathematics and Computation, 179 (2006) 296–300.
[3]
Nasr-Al-Din Ide, A new hybrid iteration method for algebraic equations, Applied Mathematics and Computation, 195 (2008) 772-774.
[4]
Hamideh Eskandari, A new numerical solving method for equations of one variable, International Journal of Applied Mathematics and Computer Sciences, 5:3 (2009) 183-186.
[5]
Stoer .J, Bulirsch .R, Introduction to numerical analysis, Springer-Verlag, 3rd ed., 2002.
[6]
Hildebrand .F.B, Introduction to numerical analysis, Tata McGraw-Hill, Second edition, 1987.
[7]
Fang .T, Fang .G, Lee .C.F, A new iteration method with cubic convergence to solve nonlinear algebraic equations, Applied Mathematics and Computation, 175 (2006) 1147-1155.
[8]
Atkinson, Kendall E. An introduction to numerical analysis, John Wiley & Sons, 1988.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186