Lopez-Caamal, F. and García, M.R. and Middleton, R.H. (2012) Reducing computational time via order reduction of a class of reaction–diffusion systems. Working Paper. American Control Conference. (Unpublished)

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Abstract

In this paper, we consider a class of reaction– diffusion PDEs. For this class, a suitable state transformation allows conversion to a heat equation together with a lower order PDE set. By giving an explicit solution to the heat equation we are able to obtain a complete solution to the original PDE. By focusing on the computational load, we give a comparison of the pure numerical, analytical/numerical, analytical/approximated, and approximated methods of solving the PDE. In some examples, we note an almost order of magnitude improvement in computational load.

Item Type:	Monograph (Working Paper)
Additional Information:	Preprint of conference paper for the American Control Conference (2012)
Keywords:	computational time; order reduction; reaction–diffusion systems; PDE;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	3627
Depositing User:	Miriam Garcia
Date Deposited:	02 May 2012 15:35
Publisher:	American Control Conference
URI:	http://www.hamilton.ie/
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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