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

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Qin Ma; Hong-Liang Lv; Shu-Li Mei; (2008)
  • Publisher: Hindawi Limited
  • Journal: Mathematical Problems in Engineering (issn: 1024-123X, eissn: 1563-5147)
  • Related identifiers: doi: 10.1155/2008/629253
  • Subject: TA1-2040 | Mathematics | Engineering (General). Civil engineering (General) | QA1-939 | Article Subject
    acm: MathematicsofComputing_NUMERICALANALYSIS | Data_CODINGANDINFORMATIONTHEORY | ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION

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 ... View more
  • References (10)

    Cohen, A., Daubechies, I., Vial, P.. Wavelets on the interval and fast wavelet transforms. Applied and Computational Harmonic Analysis. 1993; 1 (1): 54-81

    Quak, E., Weyrich, N.. Decomposition and reconstruction algorithms for spline wavelets on a bounded interval. Applied and Computational Harmonic Analysis. 1994; 1 (3): 217-231

    Ortloff, C. R.. Restricted variational principle methods for boundary value problems of kinetic theory. Physics of Fluids. 1967; 10 (1): 230-231

    Wei, G. W.. Quasi wavelet and quasi interpolating wavelets. Chemical Physics Letters. 1998; 296 (3-4): 215-222

    Vasilyev, O. V., Paolucci, S.. A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain. Journal of Computational Physics. 1996; 125 (2): 498-512

    Mei, S.-L., Lu, Q.-S., Zhang, S.-W., Jin, L.. Adaptive interval wavelet precise integration method for partial differential equations. Applied Mathematics and Mechanics. 2005; 26 (3): 364-371

    Mei, S.-L., Lu, Q.-S., Zhang, S.-W.. An adaptive wavelet precise integration method for partial differential equations. Chinese Journal of Computational Physics. 2004; 21 (6): 523-530

    Wan, D.-C., Wei, G.-W.. The study of quasi wavelets based numerical method applied to Burgers' equations. Applied Mathematics and Mechanics. 2000; 21 (10): 1099-1110

    Leader, J. J.. Numerical Analysis and Scientific Computation. 2004

    Daubechies, I.. Ten Lectures on Wavelets. 1992; 61: xx+357

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