A Family of Fifth-Order Iterative Methods for Solving Nonlinear Equations

A Family of Fifth-Order Iterative Methods for Solving Nonlinear Equations

Year:    2013

Author:    Tianbao Liu, Cai Hua

Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 255–260

Abstract

In this paper, we present and analyze a family of fifth-order iterative methods free from second derivative for solving nonlinear equations. It is established that the family of iterative methods has convergence order five. Numerical examples show that the new methods are comparable with the well known existing methods and give better results in many aspects.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-19009

Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 255–260

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Newton's method iterative method nonlinear equation order of convergence.

Author Details

Tianbao Liu

Cai Hua