On Dynamics of Iterative Techniques for Nonlinear Equation with Applications in Engineering
Joint Authors
Akram, Saima
Almatroud, A. Othman
Rafiq, Naila
Shams, Mudassir
Ahmad Mir, Nazir
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-25
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In this article, we construct an optimal family of iterative methods for finding the single root and then extend this family for determining all the distinct as well as multiple roots of single-variable nonlinear equations simultaneously.
Convergence analysis is presented for both the cases to show that the optimal order of convergence is 4 in the case of single root finding methods and 6 for simultaneous determination of all distinct as well as multiple roots of a nonlinear equation.
The computational cost, basins of attraction, efficiency, log of residual, and numerical test examples show that the newly constructed methods are more efficient as compared to the existing methods in the literature.
American Psychological Association (APA)
Shams, Mudassir& Ahmad Mir, Nazir& Rafiq, Naila& Almatroud, A. Othman& Akram, Saima. 2020. On Dynamics of Iterative Techniques for Nonlinear Equation with Applications in Engineering. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1196322
Modern Language Association (MLA)
Shams, Mudassir…[et al.]. On Dynamics of Iterative Techniques for Nonlinear Equation with Applications in Engineering. Mathematical Problems in Engineering No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1196322
American Medical Association (AMA)
Shams, Mudassir& Ahmad Mir, Nazir& Rafiq, Naila& Almatroud, A. Othman& Akram, Saima. On Dynamics of Iterative Techniques for Nonlinear Equation with Applications in Engineering. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1196322
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196322