New iterative methods with seventh-order convergence for solving nonlinear equations

Document Type : Research Paper


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.


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.


Volume 3, Issue 2 - Serial Number 2
November 2012
Pages 31-37
  • Receive Date: 03 June 2011
  • Revise Date: 09 May 2012
  • Accept Date: 27 May 2012