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.

JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2014-05-14

Issue

Vol. 8 No. 3 (2014)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

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

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