Computational Method for Reaction Diffusion-Model Arising in a Spherical Catalyst

Abstract

In this paper, we consider Lane–Emden problems which have many applications in sciences. Mainly we focus on two special cases of Lane–Emden boundary value problems which models reaction–diffusion equations in a spherical catalyst and spherical biocatalyst. Here we propose a method to obtain approximate solution of these models. The main reason for using this technique is high accuracy and low computational cost compared to some other methods. Numerical results are shown using tables and figures. Accuracy of the computational method is shown by comparing numerical results by analytical methods.