Construction of Interval Wavelet Based on Restricted Variational Principle and Its Application for Solving Differential Equations
Shuli Mei, Hong-Liang Lv, Qin Ma · Mathematical Problems in Engineering · 2008
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.