‎The effect of radial basis functions (RBFs) method in solving coupled Lane–Emden boundary value problems in‎ ‎Catalytic Diffusion Reactions

‎‎In this paper‎, ‎the radial basis functions (RBFs) method is applied to solve the coupled Lane–Emden boundary value problems arising in catalytic diffusion reactions‎. ‎First‎, ‎we multiply the equations by x to overcome the difficulties of the singularity at the origin‎. ‎Then‎, ‎the Kansa collocation method based on radial basis functions is used to approximate the unknown functions‎. ‎By this technique‎, ‎the problem with boundary conditions is reduced to a system of algebraic equations‎. ‎We solve this system and compare the maximal residual error with the results previously‎, ‎which show the presented method is efficient and produces very accurate and rapidly convergent numerical results in considerably low computational effort and easy implementation‎.