Mathematical Problems in Engineering 
Volume 2008 (2008), Article ID 629253, 14 pages
doi:10.1155/2008/629253
Research Article

Construction of Interval Wavelet Based on Restricted Variational Principle and Its Application for Solving Differential Equations

Shu-Li Mei, Hong-Liang Lv, and Qin Ma

 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

Recommended by Giuseppe Rega

Abstract

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.