International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 5, Issue 9 (September 2018), Pages: 28-32

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 Original Research Paper

 Title: New algorithms for nonlinear equations

 Author(s): Muhammad Idrees 1, Hongbin Ma 1, *, Amir Naseem 2, Sajid Ali 3, Abdul Rauf Nizami 4

 Affiliation(s):

 1School of Automation, Beijing Institute of Technology, Beijing, China
 2Department of Mathematics, Lahore Leads University, Lahore, Pakistan
 3Department of Computer Science, University of Education, DG Khan, Pakistan
 4Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan

 https://doi.org/10.21833/ijaas.2018.09.006

 Full Text - PDF          XML

 Abstract:

In this paper, three new algorithms are introduced to solve non-linear equations using variational iteration technique, and their convergence criteria is discussed. Moreover, several examples are also given to illustrate that these algorithms are more efficient than Newton’s method, Halley’s method, and Househölder’s method. Besides, one can confirm the efficiency of the introduced fast algorithms in terms of the so-called efficiency index. Such techniques have potential applications in adaptive estimation and control, parameter estimation, and so on. 

 © 2018 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Nonlinear equation, Newton’s method, Halley’s method, Househölder’s method

 Article History: Received 11 March 2018, Received in revised form 20 June 2018, Accepted 10 July 2018

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.09.006

 Citation:

 Idrees M, Ma H, and Naseem A et al. (2018). New algorithms for nonlinear equations. International Journal of Advanced and Applied Sciences, 5(9): 28-32

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I9/Idrees.html

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