PurposeThe purpose of this paper is to investigate the analytical solution of a hyperbolic partial differential equation (PDE) and its application.Design/methodology/approachThe 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.FindingsA 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/valueThe introduced approach is interesting for the solution of hyperbolic PDE and boundary control of the reaction-diffusion system.
International Journal of Intelligent Computing and Cybernetics – Emerald Publishing
Published: Jun 12, 2017
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