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Research Article Open access CC BY 4.0

Controlled Variational Iteration Method for Bratu Equation Arising in Electro-Spun Organic Nanofibers Elaboration

Mohamed M. Mousa

Journal of Advances in Mathematics and Computer Science · pp. 515–524 · Published 14 Nov 2014

10.9734/BJMCS/2015/14237

Abstract

In this paper, an effective formulation of the variational iteration method is suggested for solving Bratu equation arising in electro-spinning. The suggested formulation depends on embedding a nonzero auxiliary parameter that controls the solution convergence region. An alternative formulation of the Bratu equation is suggested as well. The proposed formula eliminates the complexity that appears when solving using the standard variational iteration algorithms illustrated in [1,2] without approximating the exponential term. A suitable choice of the auxiliary parameter results in an accurate approximation compared with the approximation of the standard variational iteration method.

Controlled variational iteration method analytical solution Bratu equation electro-spinning

References (12)

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  3. 3 A model of steady state jet in the electrospinning process [DOI]
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  11. 11 Solution of Bratu's Equation by He's Variational Iteration Method
  12. 12 Electrospun Nanofibres and Their Applications

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