International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 746918, 8 pages
doi:10.1155/2011/746918
Research Article

A New Solution for the Director Relaxation Problem in Twisted Nematic Film Based on Wavelet Analysis

1Department of Mathematics and Computer Science, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy
2Department of Engineering Physics, Bashkir State University, 100 Mingazheva Street, Ufa 450014, Russia

Received 4 December 2010; Accepted 24 January 2011

Academic Editor: Hari Srivastava

Copyright © 2011 Aleksey Kudreyko and Nail Migranov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The present research considers and explains the application of the Haar wavelets as basis functions in solution of the propagation of perturbations in low-dimensional anisotropic media. The computations of the relaxation problem in the form of traveling waves have shown that the present approach possesses several advantages over regular methods.