The purpose of this paper is to investigate the analytical solution of a hyperbolic partial differential equation (PDE) and its application.
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.
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.
The introduced approach is interesting for the solution of hyperbolic PDE and boundary control of the reaction-diffusion system.
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).
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
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