Extended perturbation series analysis and improvement applied to a porous catalyst slab

Abstract

In this paper techniques available for the analysis and improvement of extended regular perturbation series are applied to an example problem of chemical reaction inside a porous catalyst slab of infinite length. The techniques used include the extraction of singularity, Euler transformation, Pade approximants, Shanks transformation, Levin transformations and series reversion. The example illustrates the utility of these techniques in improving the convergence of regular perturbation series. In general, the Pade approximants given the best results for the present problem.