Mohammadi, Fakhrodin Numerical solution of Bagley-Torvik equation using Chebyshev wavelet operational matrix of fractional derivative. (English) Zbl 1359.65136 Int. J. Adv. Appl. Math. Mech. 2, No. 1, 83-91 (2014). 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. Cited in 11 Documents MSC: 65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations 34A08 Fractional ordinary differential equations 65T60 Numerical methods for wavelets Keywords:Chebyshev wavelet; fractional derivatives; operational matrix; Bagley-Torvik equation; tau method × Cite Format Result Cite Review PDF Full Text: Link