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Lopez-Caamal, F., 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 (Unpublished)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 |
| Related URLs: | |
| 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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