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International Journal of Computer Mathematics Volume 89, 2012 - Issue 15
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Section B

A family of fast derivative-free fourth-order multipoint optimal methods for nonlinear equations

Min-Young Lee Department of Applied Mathematics, Dankook University , Cheonan, 330-714, South Korea
&
Young Ik Kim Department of Applied Mathematics, Dankook University , Cheonan, 330-714, South Korea
Pages 2081-2093 | Received 22 Nov 2011, Accepted 08 Jun 2012, Published online: 04 Jul 2012
 
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Abstract

A new optimal family of fast derivative-free fourth-order multipoint methods for solving nonlinear equations are developed along with their convergence and computational properties. Numerical experiments in comparison with existing methods are presented to convince the theoretical development.

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