Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation

DOI10.1002/mma.3486zbMath1336.65123OpenAlexW2125296015MaRDI QIDQ2786701

S. Mashayekhi, Mohsen Razzaghi

Publication date: 23 February 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3486

zbMATH Keywords

numerical exampleCauchy problemerror boundsboundary value problemhybrid functionsblock-pulsedifferential equation of fractional orderfractional Bagley-Torvik equationmethod of collocation by Bernoulli polynomials

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Fractional ordinary differential equations (34A08)

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Uses Software

• ma2dfc

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