A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients

DOI10.4208/eajam.180420.200720zbMath1468.65140OpenAlexW3109500412MaRDI QIDQ4986574

Y. H. Shi, Yi-Fa Tang, Huijun Fan, Yan-Min Zhao, Fen-Ling Wang

Publication date: 27 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.180420.200720

zbMATH Keywords

convergencesuperconvergenceCrank-Nicolson scheme\(L1\) time-stepping methodmulti-term time-fractional mixed diffusion and diffusion-wave equationsnonconforming mixed FEM

Mathematics Subject Classification ID

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Related Items (3)

A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations ⋮ A Support Vector Machine Method for Two Time-Scale Variable-Order Time-Fractional Diffusion Equations ⋮ A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations

Cites Work

• Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
• A unified numerical scheme for the multi-term time fractional diffusion and diffusion-wave equations with variable coefficients
• A finite element approximation for a class of Caputo time-fractional diffusion equations
• Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains
• New abundant wave solutions of the conformable space-time fractional \((4+1)\)-dimensional Fokas equation in water waves
• Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains
• Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid
• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

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