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Numerical simulation of Chun-Hui He’s iteration method with applications in engineering

Waseem Asghar Khan (Department of Mathematics, Faculty of Sciences Al-Zulfi, Majmaah University, Al Majma'ah 11952, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 12 July 2021

Issue publication date: 20 January 2022

159

Abstract

Purpose

This study aims to introduce a modern higher efficiency predictor–corrector iterative algorithm.

Design/methodology/approach

Furthermore, the efficiency of new algorithm is analyzed on the based on Chun-Hui He’s iteration method.

Findings

In comparison with the current robust algorithms, the newly establish algorithm behaves better and efficient, whereas the current existing algorithm fails or slows in the considered test examples.

Practical implications

The modified Chun-Hui He’s algorithm has great practical implication in numerous real-life challenges in different area of engineering, such as Industrial engineering, Civil engineering, Electrical engineering and Mechanical engineering.

Originality/value

The paper presents a modified Chun-Hui He’s algorithm for solving the nonlinear algebraic models exist in various area.

Keywords

Acknowledgements

The author extends their appreciation to the Dean for Scientific Research and Basic Sciences Unit of Research Center and Head of the Mathematics Department, Majmaah University, Saudi Arabia for funding this research work through project number (R-2021–106).

Citation

Khan, W.A. (2022), "Numerical simulation of Chun-Hui He’s iteration method with applications in engineering", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 32 No. 3, pp. 944-955. https://doi.org/10.1108/HFF-04-2021-0245

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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