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Reducing computational time via order reduction of a class of reaction–diffusion systems

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 (Unpublished)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;
Subjects: Science & Engineering > Hamilton Institute
Item ID: 3627
Depositing User: Miriam Garcia
Date Deposited: 02 May 2012 15:35
Publisher: American Control Conference
URI:

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