Iteration Methods with an Auxiliary Function for Nonlinear Equations
Joint Authors
Nadeem, Akbar
Aslam, Waqas
Khalid, Imran
Ali, Faisal
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Various iterative methods have been introduced by involving Taylor’s series on the auxiliary function gx to solve the nonlinear equation fx=0.
In this paper, we introduce the expansion of gx with the inclusion of weights wi such that ∑i=1pwi=1 and knots τi∈0,1 in order to develop a new family of iterative methods.
The methods proposed in the present paper are applicable for different choices of auxiliary function gx, and some already known methods can be viewed as the special cases of these methods.
We consider the diverse scientific/engineering models to demonstrate the efficiency of the proposed methods.
American Psychological Association (APA)
Ali, Faisal& Aslam, Waqas& Khalid, Imran& Nadeem, Akbar. 2020. Iteration Methods with an Auxiliary Function for Nonlinear Equations. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1188165
Modern Language Association (MLA)
Ali, Faisal…[et al.]. Iteration Methods with an Auxiliary Function for Nonlinear Equations. Journal of Mathematics No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1188165
American Medical Association (AMA)
Ali, Faisal& Aslam, Waqas& Khalid, Imran& Nadeem, Akbar. Iteration Methods with an Auxiliary Function for Nonlinear Equations. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1188165
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188165