New iterative methods with seventh-order convergence for solving nonlinear equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 4، دوره 3، شماره 2، 2012، صفحه 31-37 اصل مقاله (350.48 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2012.39 | ||
| نویسندگان | ||
| M. Fardi* 1؛ M. Ghasemi2؛ A. Davari3 | ||
| 1Department of Mathematics, Islamic Azad University, Najafabad Branch, Na- jafabad, Iran. | ||
| 2Department of Applied Mathematics, Faculty of Science, Shahrekord Univer- sity, Shahrekord, P. O. Box 115, Iran. | ||
| 3Department of Mathematics, University of Isfahan, Isfahan, Iran. | ||
| چکیده | ||
| In this paper, seventh-order iterative methods for the solution of nonlinear equations are presented. The new iterative methods are developed by using weight function method and using an approximation for the last derivative, which reduces he required number of functional evaluations per step. Several examples are given to illustrate the eciency and the performance of the new iterative methods. | ||
| کلیدواژهها | ||
| Iterative methods؛ Fourth order؛ Seventh order؛ Newton؛ convergence؛ Nonlinear | ||
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