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Analytical solution of a hyperbolic partial differential equation and its application

Analytical solution of a hyperbolic partial differential equation and its application 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Intelligent Computing and Cybernetics Emerald Publishing

Analytical solution of a hyperbolic partial differential equation and its application

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References (8)

Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
1756-378X
DOI
10.1108/IJICC-10-2016-0040
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

International Journal of Intelligent Computing and CyberneticsEmerald Publishing

Published: Jun 12, 2017

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