An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations

DOI10.1016/j.apnum.2018.04.009zbMath1395.65074OpenAlexW2802986201MaRDI QIDQ1635500

Mostafa Abbaszadeh, Mehdi Dehghan

Publication date: 6 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.04.009

zbMATH Keywords

convergence analysisfinite element methoderror estimatefractional derivativeCaputo derivativeBloch-Torrey equationsRiemann-Liouville fractionalspace fractional equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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Uses Software

• FODE

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