A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation

DOI10.1016/j.apnum.2020.07.020zbMath1452.65145OpenAlexW3047033524MaRDI QIDQ2202433

Mehdi Dehghan, Mostafa Abbaszadeh

Publication date: 18 September 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.07.020

zbMATH Keywords

finite difference methoderror estimateRiesz derivativeRiemann-Liouville fractionalspace fractional equationproper orthogonal decomposition (POD) methodADI idea

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) 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) Numerical integration (65D30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

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Uses Software

• FODE

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