An efficient method for solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions and error estimate

In this paper, we propose an efficient method for solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions. The target is to obtain approximations of coupled Lane-Emden boundary value problems via series representation. Convergence and an error estimate are presented. Finally, two BVPs are solved to illustrative high accuracy of our method. Furthermore, our algorithm is easy to implement.