Analytical solution of a hyperbolic partial differential equation and its application. Issue 2 (12th June 2017) - He, Ping
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.