International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

A new derivative-free method for solving nonlinear equations

P. A. Phiri1* and O. D. Makinde2
1Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa. 2Faculty of Engineering, Cape Peninsula University of Technology, P. O. Box 1906, Bellville 7535, South Africa.
Email: [email protected]

  •  Accepted: 19 May 2010
  •  Published: 31 July 2010


This paper presents a new method for solving nonlinear equations. The method is free of derivatives and easy to implement. Although its convergence is linear, numerical experiments conducted indicate that its performance compares well not only with Newton-based methods of higher order but with other derivative-free methods as well.


Key words: Derivative-free iterative method, nonlinear equations.