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

Civil Engineering

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