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