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