On the application of finite differences, method of lines and pseudo-spectral methods to smectic-C liquid crystals

Author: Dada K.B.   Momoniat E.  

Publisher: Emerald Group Publishing Ltd

ISSN: 0961-5539

Source: International Journal of Numerical Methods for Heat & Fluid Flow, Vol.20, Iss.4, 2010-05, pp. : 429-444

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Abstract

Purpose ‐ The purpose of this paper is to derive a dynamic equation for modelling the behaviour of smectic-C liquid crystals under the effect of an electric field. Design/methodology/approach ‐ The model equation is solved using a finite difference approximation, method of lines and pseudo-spectral methods. The solutions are compared for accuracy and efficiency. Comparison is made of the efficiency of finite differences, method of lines and pseudo-spectral methods. Findings ‐ The Fourier pseudo-spectral method is shown to be the most efficient approach. Originality/value ‐ This work is original; a computational comparison of numerical schemes applied to liquid crystals has not been found in the literature.