Efficacy of Optimal Methods for Nonlinear Equations with Chemical Engineering Applications
Joint Authors
Hashim, Ishak
Said Solaiman, Obadah
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this study, we propose a modified predictor-corrector Newton-Halley (MPCNH) method for solving nonlinear equations.
The proposed sixteenth-order MPCNH is free of second derivatives and has a high efficiency index.
The convergence analysis of the modified method is discussed.
Different problems were tested to demonstrate the applicability of the proposed method.
Some are real life problems such as a chemical equilibrium problem (conversion in a chemical reactor), azeotropic point of a binary solution, and volume from van der Waals equation.
Several comparisons with other optimal and nonoptimal iterative techniques of equal order are presented to show the efficiency of the modified method and to clarify the question, are the optimal methods always good for solving nonlinear equations?
American Psychological Association (APA)
Said Solaiman, Obadah& Hashim, Ishak. 2019. Efficacy of Optimal Methods for Nonlinear Equations with Chemical Engineering Applications. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1194502
Modern Language Association (MLA)
Said Solaiman, Obadah& Hashim, Ishak. Efficacy of Optimal Methods for Nonlinear Equations with Chemical Engineering Applications. Mathematical Problems in Engineering No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1194502
American Medical Association (AMA)
Said Solaiman, Obadah& Hashim, Ishak. Efficacy of Optimal Methods for Nonlinear Equations with Chemical Engineering Applications. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1194502
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194502