A time-fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions

DOI10.1515/CMAM-2017-0035zbMath1434.65104OpenAlexW2754127966WikidataQ115236928 ScholiaQ115236928MaRDI QIDQ2302894

Anatoly A. Alikhanov

Publication date: 26 February 2020

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2017-0035

zbMATH Keywords

stabilityconvergencea priori estimatesfinite difference schemefractional diffusion equationfractional derivative with generalized memory kernel

Mathematics Subject Classification ID

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) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items (12)

A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay ⋮ A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients ⋮ Numerical Methods for Solving the Robin Boundary Value Problem for a Generalized Diffusion Equation with a Non-smooth Solution ⋮ A second-order difference scheme for generalized time-fractional diffusion equation with smooth solutions ⋮ A dimensional-splitting weak Galerkin finite element method for 2D time-fractional diffusion equation ⋮ Iterative methods for mesh approximations of optimal control problems controlled by linear equations with fractional derivatives ⋮ The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation ⋮ A high-order L2 type difference scheme for the time-fractional diffusion equation ⋮ Устойчивость и сходимость разностных схем для уравнения диффузии дискретно-распределенного порядка с обобщенными функциями памяти ⋮ Preface: Numerical analysis of fractional differential equations ⋮ Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel ⋮ Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations

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