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A New High-Order and Efficient Family of Iterative Techniques for Nonlinear Models
Joint Authors
Behl, Ramandeep
Martínez, Eulalia
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we want to construct a new high-order and efficient iterative technique for solving a system of nonlinear equations.
For this purpose, we extend the earlier scalar scheme [16] to a system of nonlinear equations preserving the same convergence order.
Moreover, by adding one more additional step, we obtain minimum 5th-order convergence for every value of a free parameter, θ∈ℝ, and for θ=−1, the method reaches maximum 6-order convergence.
We present an extensive convergence analysis of our scheme.
The analytical discussion of the work is upheld by performing numerical experiments on some applied science problems and a large system of nonlinear equations.
Furthermore, numerical results demonstrate the validity and reliability of the suggested methods.
American Psychological Association (APA)
Behl, Ramandeep& Martínez, Eulalia. 2020. A New High-Order and Efficient Family of Iterative Techniques for Nonlinear Models. Complexity،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1139941
Modern Language Association (MLA)
Behl, Ramandeep& Martínez, Eulalia. A New High-Order and Efficient Family of Iterative Techniques for Nonlinear Models. Complexity No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1139941
American Medical Association (AMA)
Behl, Ramandeep& Martínez, Eulalia. A New High-Order and Efficient Family of Iterative Techniques for Nonlinear Models. Complexity. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1139941
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139941