Novel superconvergence analysis of anisotropic triangular <scp>FEM</scp> for a multi‐term time‐fractional mixed sub‐diffusion and diffusion‐wave equation with variable coefficients
DOI10.1002/num.22838OpenAlexW3196914738MaRDI QIDQ6089127
Y. H. Shi, Yan-Min Zhao, Fawang Liu, Fen-Ling Wang
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22838
stabilitysuperclose and superconvergencelinear triangular finite elementmodified \(\mathrm{L}1\) approximation and Crank-Nicolson approximationmulti-term time-fractional mixed Dullin-Gottwald-Holm and diffusion-wave equation
PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Numerical interpolation (65D05) 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) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Fractional partial differential equations (35R11)
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