A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation

DOI10.1016/j.cnsns.2020.105445zbMath1458.65131OpenAlexW3042457516MaRDI QIDQ2213896

Wenjun Cai, Samer S. Ezz-Eldien, Yu Shun Wang, Eid H. Doha

Publication date: 3 December 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105445

zbMATH Keywords

fractional differential equationsLegendre polynomialsspectral methodsCaputo derivativeRiemann-Liouville integral

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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) Fractional partial differential equations (35R11)

Related Items (5)

Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes ⋮ A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations ⋮ Galerkin operational approach for multi-dimensions fractional differential equations ⋮ Robust spectral treatment for time-fractional delay partial differential equations ⋮ Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

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