A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations
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Publication:2676800
DOI10.1007/s10915-022-02000-9zbMath1497.65130arXiv2101.09678OpenAlexW4295788733WikidataQ114225506 ScholiaQ114225506MaRDI QIDQ2676800
Publication date: 28 September 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.09678
Smoothness and regularity of solutions to PDEs (35B65) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Fractional partial differential equations (35R11)
Related Items (10)
An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion-wave equation ⋮ Symmetric fractional order reduction method with \(L1\) scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type ⋮ A fast Alikhanov algorithm with general nonuniform time steps for a two‐dimensional distributed‐order time–space fractional advection–dispersion equation ⋮ Second-order nonuniform time-stepping schemes for time-fractional evolution equations with general elliptic operator ⋮ Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models ⋮ A weighted ADI scheme with variable time steps for diffusion-wave equations ⋮ A high-order compact difference method and its Richardson extrapolation for semi-linear reaction-diffusion equations with piecewise continuous argument in diffusion term ⋮ \(H^1\)-analysis of H3N3-\(2_\sigma\)-based difference method for fractional hyperbolic equations ⋮ Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation ⋮ Optimal pointwise-in-time error analysis of a mixed finite element method for a multi-term time-fractional fourth-order equation
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