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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2011 Volume 14, Number 3, Pages 297–302 (Mi sjvm443)

This article is cited in 6 papers

A fifth order iterative method for solving nonlinear equations

M. Rafiullah

Dept. of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan

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.

MSC: 65F20, 65F10, 65F50, 65L50, 65N99

Received: 06.11.2009
Revised: 22.11.2010


 English version:
Numerical Analysis and Applications, 2011, 4:3, 239–243

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