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

• Record Type: Journal Article
• Authors: He, Ping; Li, Yangmin
• Is Part Of: International journal of intelligent computing and cybernetics. Volume 10:Issue 2(2017)
• Page Start: 183
• Page End: 199
• Publication Date: 2017-06-12
• Subjects: Analytical solution -- Gain Kernel PDE -- Hyperbolic equation -- Neumann boundary condition -- Volterra integral transformation; Artificial intelligence -- Periodicals; Cybernetics -- Periodicals; 006.3
• DOI: 10.1108/IJICC-10-2016-0040
• Languages: English
• ISSNs: 1756-378X

Abstract

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.