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Bratu-like equation arising in electrospinning process: a Green's function fixed-point iteration approach

The aim of this article is to solve a Bratu-like nonlinear differential equation arising in electrospinning and vibration-electrospinning process that was recently introduced by Liu and Wang (2014). Electro-spinning process has been associated to Bratu equation through thermo-electro-hydrodynamics balance equations. The proposed strategy is based on embedding Green's function into Picard's fixed-point iteration scheme. Validation of the novel algorithm is demonstrated through numerical examples which comprise certain selected values of the parameters that appear in the modelled equation.