Three-Step Method with Fifth-Order Convergence for Nonlinear Equation

Ying Peng Zhang; Li Sun

doi:10.4028/www.scientific.net/AMR.846-847.1274

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 846-847Three-Step Method with Fifth-Order Convergence for...

Three-Step Method with Fifth-Order Convergence for Nonlinear Equation

Abstract:

We present a fifth-order iterative method for the solution of nonlinear equation. The new method is based on two ordinary methods, which are modified Newton methods without second derivatives. Its efficiency index is 1.37973 which is better than that of Newton's method. Numerical results show the efficiency of the proposed method.

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Periodical:

Advanced Materials Research (Volumes 846-847)

Pages:

1274-1277

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.846-847.1274

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Online since:

November 2013

Authors:

Ying Peng Zhang*, Li Sun

Keywords:

Convergence, Iterative Method, Newton Method, Nonlinear Equations

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