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Numerical solution of Bagley-Torvik equation using Chebyshev wavelet operational matrix of fractional derivative. (English) Zbl 1359.65136

Summary: In this paper Chebyshev wavelet and their properties are employed for deriving Chebyshev wavelet operational matrix of fractional derivatives and a general procedure for forming this matrix is introduced. Then Chebyshev wavelet expansion along with this operational matrix are used for numerical solution of Bagley-Torvik boundary value problems. The error analysis and convergence properties of the Chebyshev wavelet method are investigated.

MSC:

65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34A08 Fractional ordinary differential equations
65T60 Numerical methods for wavelets
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