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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.

### MSC:

65T60 | Numerical methods for wavelets |

65L05 | Numerical methods for initial value problems involving ordinary differential equations |

34A34 | Nonlinear ordinary differential equations and systems |

### Keywords:

variational principle; quasi-Shannon wavelet; ordinary differential equations; interval wavelet method
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\textit{S.-L. Mei} et al., Math. Probl. Eng. 2008, Article ID 629253, 14 p. (2008; Zbl 1155.65114)

### References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.