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A new family of four-step fifteenth-order root-finding methods with high efficiency index | ||
| Computational Methods for Differential Equations | ||
| مقاله 10، دوره 3، شماره 1، فروردین 2015، صفحه 51-58 اصل مقاله (126.43 K) | ||
| نوع مقاله: Research Paper | ||
| نویسنده | ||
| Tahereh Eftekhari* | ||
| Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan 987-98155, Iran | ||
| چکیده | ||
| In this paper a new family of fifteenth-order methods with high efficiency index is presented. This family include four evaluations of the function and one evaluation of its first derivative per iteration. Therefore, this family of methods has the efficiency index which equals 1.71877. In order to show the applicability and validity of the class, some numerical examples are discussed. | ||
| کلیدواژهها | ||
| Nonlinear equations؛ Ostrowski's method؛ Order of convergence؛ Efficiency index | ||
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