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M.S. Petkovi?, S. Ili?, J. D?uni?, Derivative free two-point methods with and without memory for solving nonlinear equations, Appl. Math. Comput. 217 (2010) 1887-1895.

has been cited by the following article:

• TITLE: Self-accelerating two-step Steffensen-type methods with memory and their applications on the solution of nonlinear BVPs

  AUTHORS: Quan Zheng, Xiuhui Guo, Fengxi Huang

  KEYWORDS: Nonlinear equation; Newton's method; Steffensen-type method; Derivative free; Super convergence

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.2 No.4B, January 14, 2013

  ABSTRACT: In this paper, seven self-accelerating iterative methods with memory are derived from an optimal two-step Steffensen-type method without memory for solving nonlinear equations, their orders of convergence are proved to be increased,numerical examples are demonstrat-ed demonstrated to verify the theoretical results, and applications for solving systems of nonlinear equations and BVPs of nonlinear ODEs are illustrated.