Analytical solution of a hyperbolic partial differential equation and its application

Ping He, Yangmin Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)183-199
Number of pages17
JournalInternational Journal of Intelligent Computing and Cybernetics
Volume10
Issue number2
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Analytical solution
  • Gain Kernel PDE
  • Hyperbolic equation
  • Neumann boundary condition
  • Volterra integral transformation

ASJC Scopus subject areas

  • Computer Science(all)

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