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Analytical solution of a hyperbolic partial differential equation and its application

Ping He (Department of Electromechanical Engineering, University of Macau, Taipa, Macau)
Yangmin Li (Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong)

International Journal of Intelligent Computing and Cybernetics

ISSN: 1756-378X

Article publication date: 12 June 2017

Abstract

Purpose

The purpose of this paper is to investigate the analytical solution of a hyperbolic partial differential equation (PDE) and its application.

Design/methodology/approach

The change of variables and the method of successive approximations are introduced. The Volterra transformation and boundary control scheme are adopted in the analysis of the reaction-diffusion system.

Findings

A detailed and complete calculation process of the analytical solution of hyperbolic PDE (1)-(3) is given. Based on the Volterra transformation, a reaction-diffusion system is controlled by boundary control.

Originality/value

The introduced approach is interesting for the solution of hyperbolic PDE and boundary control of the reaction-diffusion system.

Keywords

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (51575544, 51275353), Macao Science and Technology Development Fund (110/2013/A3, 108/2012/A3) and the Research Committee of University of Macau (MYRG2015-00194-FST).

Citation

He, P. and Li, Y. (2017), "Analytical solution of a hyperbolic partial differential equation and its application", International Journal of Intelligent Computing and Cybernetics, Vol. 10 No. 2, pp. 183-199. https://doi.org/10.1108/IJICC-10-2016-0040

Publisher

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Emerald Publishing Limited

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