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Title: A new derivative-free method for solving nonlinear equations
Authors: Phiri, P.A. 
Makinde, Oluwole Daniel 
Keywords: Derivative-free iterative method;Nonlinear equations
Issue Date: 2010
Publisher: Academic Journals
Source: Phiri, P.A. & Makinde, O.D. (2010). A new derivative-free method for solving nonlinear equations. International Journal of the Physical Sciences, 5(7): 935-939
Abstract: This paper presents a new method for solving nonlinear equations. The method is derivative-free and its convergence is linear. However, as numerical experiments conducted indicate, although its convergence is of order one, for certain problems, the method converges faster than some Newton-based methods of higher order; in particular, when Newton-based methods fail to converge, the method can be used to find the solution of the problem. Numerical experiments conducted also show that the method compares well with other iterative methods that do not depend on derivatives.
ISSN: 1992-1950
Appears in Collections:Eng - Journal articles (DHET subsidised)

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