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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 3, Pages 297–302 (Mi sjvm443)  
This article is cited in 7 scientific papers (total in 7 papers)

A fifth order iterative method for solving nonlinear equations

M. Rafiullah

Dept. of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan
Full-text PDF (163 kB) Citations (7) English version article
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Abstract: The object of this paper is to construct a new efficient iterative method for solving nonlinear equations. This method is mainly based on M. Javidi's paper [1] by using a new scheme of a modified homotopy perturbation method. This new method is of the fifth order of convergence, and it is compared with the second, third, fifth, and sixth order methods. Some numerical test problems are given to show the accuracy and fast convergence of the method proposed.
Key words: homotopy perturbation method, nonlinear equations, iterative methods, convergence analysis, root finding techniques.
Received: 06.11.2009
Revised: 22.11.2010
English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 3, Pages 239–243
DOI: https://doi.org/10.1134/S1995423911030062
Bibliographic databases:
Document Type: Article
MSC: 65F20, 65F10, 65F50, 65L50, 65N99
Language: Russian
Citation: M. Rafiullah, “A fifth order iterative method for solving nonlinear equations”, Sib. Zh. Vychisl. Mat., 14:3 (2011), 297–302; Num. Anal. Appl., 4:3 (2011), 239–243
Citation in format AMSBIB
\Bibitem{Raf11}
\by M.~Rafiullah
\paper A fifth order iterative method for solving nonlinear equations
\jour Sib. Zh. Vychisl. Mat.
\yr 2011
\vol 14
\issue 3
\pages 297--302
\mathnet{http://mi.mathnet.ru/sjvm443}
\transl
\jour Num. Anal. Appl.
\yr 2011
\vol 4
\issue 3
\pages 239--243
\crossref{https://doi.org/10.1134/S1995423911030062}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79960819885}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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