A collocation method for fractional diffusion equation in a long time with Chebyshev functions

DOI10.1016/j.amc.2017.11.048zbMath1427.65281OpenAlexW2772591700MaRDI QIDQ2423103

A. Baseri, Esmail Babolian, Saeid Abbasbandy

Publication date: 21 June 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.11.048

zbMATH Keywords

error analysisCaputo derivativeshifted Chebyshev polynomialsrational Chebyshev functionsfractional diffusion equation(FDE)

Mathematics Subject Classification ID

Heat equation (35K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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