Analytical solution of a hyperbolic partial differential equation and its application
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
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited