Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems

DOI10.1007/s40314-022-01934-yOpenAlexW4284690158MaRDI QIDQ2167365

Tao Guo, Wenlin Qiu, Zakieh Avazzadeh, Omid Nikan

Publication date: 25 August 2022

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

Full work available at URL: https://doi.org/10.1007/s40314-022-01934-y

zbMATH Keywords

error estimateCaputo fractional derivativealternating direction implicit schemeweighted and shifted Grünwald formulasecond-order convolution quadrature ruledistributed-order integrodifferential equation

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) Initial-boundary value problems for PDEs of mixed type (35M13)

Related Items (5)

Non-polynomial spectral-Galerkin method for time-fractional diffusion equation on unbounded domain ⋮ Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian ⋮ Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation ⋮ Application of the B-Spline Galerkin approach for approximating the time-fractional Burger's equation ⋮ Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation

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