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Volume 29, Issue 3
A Family of Fifth-Order Iterative Methods for Solving Nonlinear Equations

Tianbao Liu & Cai Hua

Commun. Math. Res., 29 (2013), pp. 255-260.

Published online: 2021-05

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  • 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.

  • Keywords

Newton's method, iterative method, nonlinear equation, order of convergence.

  • AMS Subject Headings

41A25, 65D99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-29-255, author = {Liu , Tianbao and Hua , Cai}, title = {A Family of Fifth-Order Iterative Methods for Solving Nonlinear Equations}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19009.html} }
TY - JOUR T1 - A Family of Fifth-Order Iterative Methods for Solving Nonlinear Equations AU - Liu , Tianbao AU - Hua , Cai JO - Communications in Mathematical Research VL - 3 SP - 255 EP - 260 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19009.html KW - Newton's method, iterative method, nonlinear equation, order of convergence. AB -

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.

Liu , Tianbao and Hua , Cai. (2021). A Family of Fifth-Order Iterative Methods for Solving Nonlinear Equations. Communications in Mathematical Research . 29 (3). 255-260. doi:
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