Diffusion-limited reaction in the presence of n traps

We solve the problem of a one-dimensional array of n imperfect traps. These traps are physically represented by small regions of space (in the one-dimensional version we discuss here these traps are represented by small sections of the x axis) with a smaller diffusion constant than that outside them. Small physical particles of one kind diffuse outside and through these small sections. In this work we investigate the changes of the particles density incurred by the presence of these traps. We also check how this density behaves when the density of traps becomes very large.