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

Authors: H.Q. Kafri; S.A. Khuri; A. Sayfy

Addresses: Department of Mathematics and Statistics, American University of Sharjah, UAE ' Department of Mathematics and Statistics, American University of Sharjah, UAE ' Department of Mathematics and Statistics, American University of Sharjah, UAE

Abstract: 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.

Keywords: Bratu-like nonlinear differential equation; electrospinning; vibration-electrospinning process; Green's functions; Picard's fixed-point iteration scheme.

DOI: 10.1504/IJCSM.2017.085869

International Journal of Computing Science and Mathematics, 2017 Vol.8 No.4, pp.364 - 373

Received: 02 Apr 2016
Accepted: 13 Feb 2017
Published online: 16 Aug 2017 *

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