Construction of interval wavelet based on restricted variational principle and its application for solving differential equations. (English) Zbl 1155.65114

Summary: Based on restricted variational principle, a novel method for interval wavelet construction is proposed. For the excellent local property of the 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.


65T60 Numerical methods for wavelets
65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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