A review of operational matrices and spectral techniques for fractional calculus

DOI10.1007/s11071-015-2087-0zbMath1348.65106OpenAlexW1989758007MaRDI QIDQ328928

Taha M. Taha, José António Tenreiro Machado, Ali H. Bhrawy

Publication date: 21 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2087-0

zbMATH Keywords

collocation methodChebyshev polynomialsBernstein polynomialsJacobi polynomialsLegendre polynomialstau methodoperational matricesgeneralized Laguerre polynomialsmodified generalized Laguerre polynomialsmulti-term FDEs

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Fractional ordinary differential equations (34A08)

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