Numerical Methods for a Class of Fractional Advection-Diffusion Models with Functional Delay

DOI10.1007/978-3-319-57099-0_60zbMath1368.65145OpenAlexW2605907524MaRDI QIDQ5274998

Ahmed S. Hendy, Vladimir G. Pimenov

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_60

zbMATH Keywords

interpolationalgorithmdifference schemesextrapolationnumerical experimentconvergence orderfractional diffusion equationfractional partial differential equationfunctional delaygrid schemesGrunwald-Letnikov approximationsfractional advection equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (1)

Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution

Uses Software

• PDDE

Cites Work

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• Finite Difference Approximations for a Class of Semilinear Volterra Evolution Problems
• General linear methods for the numerical solution of functional-differential equations

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