A Higher Order Difference Scheme for the Time Fractional Diffusion Equation with the Steklov Nonlocal Boundary Value Problem of the Second Kind

DOI10.1007/978-3-319-57099-0_15zbMath1368.65128OpenAlexW2606291333MaRDI QIDQ5274941

Anatoly A. Alikhanov, Inna Z. Kodzokova

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_15

zbMATH Keywords

stabilityconvergencea priori estimatesnumerical examplesnonlocal boundary conditionsfinite difference schemestime fractional diffusion equation

Mathematics Subject Classification ID

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

Related Items (1)

Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions

Cites Work

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• Stability of the Two-parameter Set of Nonlocal Difference Schemes
• Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation

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