Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation

DOI10.1134/S0965542516040035zbMath1352.65287OpenAlexW2394699789MaRDI QIDQ327237

Anatoly A. Alikhanov

Publication date: 19 October 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542516040035

zbMATH Keywords

stabilityconvergencedifference schemesnonlocal boundary conditiontime-fractional diffusion equationsmethod of energy inequalities

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) Fractional partial differential equations (35R11)

Related Items (9)

Iterative identification of the diffusion coefficient in an initial boundary value problem for the subdiffusion equation ⋮ A finite-difference scheme on a graded mesh for solving Cauchy problems with a fractional Caputo derivative in a Banach space ⋮ Discrete approximation of solutions of the Cauchy problem for a linear homogeneous differential-operator equation with a Caputo fractional derivative in a Banach space ⋮ Difference schemes for partial differential equations of fractional order ⋮ A difference method for solving the Steklov nonlocal boundary value problem of second kind for the time-fractional diffusion equation ⋮ Устойчивость и сходимость разностных схем для уравнения диффузии дискретно-распределенного порядка с обобщенными функциями памяти ⋮ A time-fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions ⋮ On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions ⋮ A Higher Order Difference Scheme for the Time Fractional Diffusion Equation with the Steklov Nonlocal Boundary Value Problem of the Second Kind

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