Numerical Algorithms for Finding Zeros of Nonlinear Equations and Their Dynamical Aspects
Joint Authors
Abdeljawad (Maraaba), T.
Rehman, M. A.
Naseem, Amir
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we developed two new numerical algorithms for finding zeros of nonlinear equations in one dimension and one of them is second derivative free which has been removed using the interpolation technique.
We derive these algorithms with the help of Taylor’s series expansion and Golbabai and Javidi’s method.
The convergence analysis of these algorithms is discussed.
It is established that the newly developed algorithms have sixth order of convergence.
Several numerical examples have been solved which prove the better efficiency of these algorithms as compared to other well-known iterative methods of the same kind.
Finally, the comparison of polynomiographs generated by other well-known iterative methods with our developed algorithms has been made which reflects their dynamical aspects.
American Psychological Association (APA)
Naseem, Amir& Rehman, M. A.& Abdeljawad (Maraaba), T.. 2020. Numerical Algorithms for Finding Zeros of Nonlinear Equations and Their Dynamical Aspects. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1188020
Modern Language Association (MLA)
Naseem, Amir…[et al.]. Numerical Algorithms for Finding Zeros of Nonlinear Equations and Their Dynamical Aspects. Journal of Mathematics No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1188020
American Medical Association (AMA)
Naseem, Amir& Rehman, M. A.& Abdeljawad (Maraaba), T.. Numerical Algorithms for Finding Zeros of Nonlinear Equations and Their Dynamical Aspects. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1188020
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188020