MURAL - Maynooth University Research Archive Library



    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 (Unpublished)

    [img] Download (683kB)


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    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:

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year