Numerical simulation of fractional evolution model arising in viscoelastic mechanics

DOI10.1016/j.apnum.2021.07.008zbMath1486.65206OpenAlexW3185989456MaRDI QIDQ2048440

Zakieh Avazzadeh, Omid Nikan

Publication date: 5 August 2021

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.07.008

zbMATH Keywords

energy methodunconditional stabilityerror estimateCrank-Nicolson methodfractional evolution problemLRBF-PUMWSGI formula

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx) Applications of fractional calculus in solid mechanics (74S40) Numerical radial basis function approximation (65D12)

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Uses Software

• Matlab

Cites Work

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