Document Type : Research Paper

Authors

• M. Fardi ¹
• M. Ghasemi ²
• A. Davari ³

¹ Department of Mathematics, Islamic Azad University, Najafabad Branch, Na- jafabad, Iran.

² Department of Applied Mathematics, Faculty of Science, Shahrekord Univer- sity, Shahrekord, P. O. Box 115, Iran.

³ Department of Mathematics, University of Isfahan, Isfahan, Iran.

Abstract

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.

Keywords

• Iterative methods
• Fourth order
• Seventh order
• Newton
• convergence
• Nonlinear