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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.

65T60Wavelets (numerical methods)
65L05Initial value problems for ODE (numerical methods)
34A34Nonlinear ODE and systems, general
Full Text: DOI EuDML
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