Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 629253, 14 pages
Construction of Interval Wavelet Based on Restricted Variational
Principle and Its Application for Solving Differential Equations
College of Information and Electrical Engineering, China Agricultural University, P.O. Box 053, 17 Qinghua Donglu Road, Beijing 100083, China
Received 10 December 2007; Revised 25 February 2008; Accepted 31 March 2008
Academic Editor: Giuseppe Rega
Copyright © 2008 Shu-Li Mei et al. 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.
Based on restricted variational principle, a novel method for interval wavelet construction is proposed. For the excellent local property of quasi-Shannon wavelet, its interval wavelet is constructed, and then applied to solve ordinary differential equations. Parameter choices for the interval wavelet method are discussed and its numerical performance is demonstrated.