Effective Root-Finding Methods for Nonlinear Equations Based on Multiplicative Calculi
Joint Authors
Özyapıcı, Ali
Sensoy, Zehra B.
Karanfiller, Tolgay
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-05
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In recent studies, papers related to the multiplicative based numerical methods demonstrate applicability and efficiency of these methods.
Numerical root-finding methods are essential for nonlinear equations and have a wide range of applications in science and engineering.
Therefore, the idea of root-finding methods based on multiplicative and Volterra calculi is self-evident.
Newton-Raphson, Halley, Broyden, and perturbed root-finding methods are used in numerical analysis for approximating the roots of nonlinear equations.
In this paper, Newton-Raphson methods and consequently perturbed root-finding methods are developed in the frameworks of multiplicative and Volterra calculi.
The efficiency of these proposed root-finding methods is exposed by examples, and the results are compared with some ordinary methods.
One of the striking results of the proposed method is that the rate of convergence for many problems are considerably larger than the original methods.
American Psychological Association (APA)
Özyapıcı, Ali& Sensoy, Zehra B.& Karanfiller, Tolgay. 2016. Effective Root-Finding Methods for Nonlinear Equations Based on Multiplicative Calculi. Journal of Mathematics،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108965
Modern Language Association (MLA)
Özyapıcı, Ali…[et al.]. Effective Root-Finding Methods for Nonlinear Equations Based on Multiplicative Calculi. Journal of Mathematics No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1108965
American Medical Association (AMA)
Özyapıcı, Ali& Sensoy, Zehra B.& Karanfiller, Tolgay. Effective Root-Finding Methods for Nonlinear Equations Based on Multiplicative Calculi. Journal of Mathematics. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108965
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108965