Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations

Malik Zaka Ullah, A. S. Al-Fhaid and Fayyaz Ahmad

Journal of Applied Mathematics, 2013, vol. 2013, 1-5

Abstract:

We present an iterative method for solving nonlinear equations. The proposed iterative method has optimal order of convergence sixteen in the sense of Kung-Traub conjecture (Kung and Traub, 1974); it means that the iterative scheme uses five functional evaluations to achieve 16(= ) order of convergence. The proposed iterative method utilizes one derivative and four function evaluations. Numerical experiments are made to demonstrate the convergence and validation of the iterative method.

Date: 2013
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/JAM/2013/850365.pdf (application/pdf)
http://downloads.hindawi.com/journals/JAM/2013/850365.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:850365

DOI: 10.1155/2013/850365

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().