Chebyshev Spectral Approximation for Diffusion Equations with Distributed Order in Time

DOI10.1007/978-3-319-32857-7_24zbMath1355.65138OpenAlexW2511018041MaRDI QIDQ2954431

Magda Rebelo, Maria Luísa Morgado

Publication date: 13 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32857-7_24

zbMATH Keywords

Chebyshev polynomialsdiffusion equationnumerical experimentCaputo derivativefractional differential equationdistributed order equation

Mathematics Subject Classification ID

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

Cites Work

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• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
• Time-fractional Diffusion of Distributed Order
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains

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