New high-order methods for solving non-linear equations

Osama Yusuf Ababneh

doi:10.24297/jam.v8i3.7263

New high-order methods for solving non-linear equations

Authors

Osama Yusuf Ababneh Zarqa University

DOI:

https://doi.org/10.24297/jam.v8i3.7263

Keywords:

Newtons method, Fourth-order convergence, Third-order convergence, Non-linear equations, Root-finding, Iterative method

Abstract

In this paper, we present two families of third and fourth order iterative methods for solving nonlinear equations. The efficiency index of the proposed schemes is 1.442 and 1.587. In order to compare the performance with some of the existing schemes, several numerical examples are furnished here.

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Author Biography

Osama Yusuf Ababneh, Zarqa University

Department of Mathematics, Zarqa University ,Zarqa, Jordan.

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Published

2014-05-14

How to Cite

Ababneh, O. Y. (2014). New high-order methods for solving non-linear equations. JOURNAL OF ADVANCES IN MATHEMATICS, 8(3), 1578–1585. https://doi.org/10.24297/jam.v8i3.7263