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The estimation of the length constant of a long cooling fin by variational iteration method

Yan Zhang (College of Textile and Clothing Engineering, Soochow University, Suzhou, China.)
Qiaoling Chen (College of Information Science & Technology, Zhengzhou Normal University, Zhengzhou, China.)
Fujuan Liu (College of Textile and Clothing Engineering, Soochow University, Suzhou, China.)
Ping Wang (College of Textile and Clothing Engineering, Soochow University, Suzhou, China and Jiangsu Wangong Technology Group Co., Ltd. Suzhou, China.)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 5 May 2015

87

Abstract

Purpose

The purpose of this paper is to validate the variational iteration method (VIM) is suitable for various nonlinear equations.

Design/methodology/approach

The He’s VIM is applied to solve nonlinear equation which is derived from actual engineering problem. The result was compared with other method.

Findings

The result obtained from VIM shows good agreement with Xu’s result which provide a solid evidence that VIM is convenient and effective for solving nonlinear equation in the engineering.

Originality/value

The VIM can be extended to many academic and engineering fields for nonlinear equations solving.

Keywords

Acknowledgements

The work is supported by Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), Jiangsu Planned Projects for Postdoctoral Research Funds (Grant Nos 1302061C and 1302112B), China Postdoctoral Science Foundation (Grant No. 2014M551656) and Natural Science Foundation of Jiangsu Province (Grant Nos BK20140396 and BK20140399).

Citation

Zhang, Y., Chen, Q., Liu, F. and Wang, P. (2015), "The estimation of the length constant of a long cooling fin by variational iteration method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 4, pp. 887-891. https://doi.org/10.1108/HFF-05-2014-0153

Publisher

:

Emerald Group Publishing Limited

Copyright © 2015, Emerald Group Publishing Limited

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