Using the quasistatic approximation, we show that in a subdiffusion-reaction system with arbitrary nonzero values of subdiffusion coefficients, the reaction front $x_f\left(t\right)$ evolves in time as $x_f\left(t\right)=K{t}^{\alpha ∕2}$, with $\alpha$ being the subdiffusion parameter and $K$ being controlled by the subdiffusion coefficients. To check the correctness of our analysis, we compare approximate analytical solutions of the subdiffusion-reaction equations with the numerical ones.

• Received 14 March 2006

DOI:https://doi.org/10.1103/PhysRevE.78.066103