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A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications
Joint Authors
Yasmin, Nusrat
Junjua, Moin-ud-Din
Akram, Saima
Zafar, Fiza
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Solving systems of nonlinear equations plays a major role in engineering problems.
We present a new family of optimal fourth-order Jarratt-type methods for solving nonlinear equations and extend these methods to solve system of nonlinear equations.
Convergence analysis is given for both cases to show that the order of the new methods is four.
Cost of computations, numerical tests, and basins of attraction are presented which illustrate the new methods as better alternates to previous methods.
We also give an application of the proposed methods to well-known Burger's equation.
American Psychological Association (APA)
Junjua, Moin-ud-Din& Akram, Saima& Yasmin, Nusrat& Zafar, Fiza. 2015. A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1067132
Modern Language Association (MLA)
Junjua, Moin-ud-Din…[et al.]. A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications. Journal of Applied Mathematics No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1067132
American Medical Association (AMA)
Junjua, Moin-ud-Din& Akram, Saima& Yasmin, Nusrat& Zafar, Fiza. A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1067132
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067132