Citation
Jamaludin, Nur Alif Akid and Nik Long, Nik Mohd Asri and Salimi, Mehdi and Ismail, Fudziah
(2019)
Third order convergence iterative method for multiple roots of nonlinear equation.
Malaysian Journal of Mathematical Sciences, 13 (spec. Apr.).
pp. 51-59.
ISSN 1823-8343; ESSN: 2289-750X
Abstract
We present a new third order convergence iterative method for solving multiple roots of nonlinear equation, which requires one function evaluation and two evaluation of first derivative of function per step. Our present method free from second derivative function. Error term is proved to possess a third order method. Numerical experiments exhibit that our method gives the smallest error of bound per iteration and it is highly accurate as compared to other existing iterative methods.
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol13s...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Universiti Putra Malaysia Press |
| Notes: | Special issue: 3rd International Conference on Mathematical Sciences and Statistics (ICMSS2018) |
| Keywords: | Multi-point iterative methods; Multiple roots; Nonlinear equations; Order of convergence; Root-finding |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 06 Sep 2019 02:43 |
| Last Modified: | 06 Sep 2019 02:43 |
| URI: | http://psasir.upm.edu.my/id/eprint/70685 |
| Statistic Details: | View Download Statistic |
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