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 language | English |
|---|---|
| Pages (from-to) | 183-199 |
| Number of pages | 17 |
| Journal | International Journal of Intelligent Computing and Cybernetics |
| Volume | 10 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Jan 2017 |
Keywords
- Analytical solution
- Gain Kernel PDE
- Hyperbolic equation
- Neumann boundary condition
- Volterra integral transformation
ASJC Scopus subject areas
- General Computer Science