Geodesic
A fifth order iterative method for solving nonlinear equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 3, pp. 297-302

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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. 
@article{SJVM_2011_14_3_a5,
     author = {M. Rafiullah},
     title = {A fifth order iterative method for solving nonlinear equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {297--302},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_3_a5/}
}
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M. Rafiullah. A fifth order iterative method for solving nonlinear equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 3, pp. 297-302. http://geodesic.mathdoc.fr/item/SJVM_2011_14_3_a5/