Application of a Mickens finite‐difference scheme to the cylindrical Bratu‐Gelfand problem

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The Lie-group shooting method for solving the Bratu equation (2011, methodology): “Also it is used in a large variety of applications such as the model of thermal reaction process, the Chandrasekhar model of the expansion of the Universe, chemical reaction theory, nano technology and radiative heat transfer [1–7].”
On the convergence of Mickens’ type nonstandard finite difference schemes on Lane-Emden type equations (2018, methodology): “We apply Mickens-type NSFD schemes for nonlinear singular boundary value problems in cylindrical coordinates [4,5].”
From the fitting techniques to accurate schemes for the Liouville‐Bratu‐Gelfand problem (2006, methodology): “Furthermore, it seems natural that a systematic manner to realize the extension of [4] is to assume that the flux v is piecewise linear:”
An algorithm based on the variational iteration technique for the Bratu-type and the Lane–Emden problems (2016, methodology): “Buckmire [21] studied the use of the one-dimensional Bratu problem.”