Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes (Q6111351)

scientific article; zbMATH DE number 7708326

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English	Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes	scientific article; zbMATH DE number 7708326

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instance of

scholarly article

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title

Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes (English)

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Journal of Scientific Computing

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publication date

6 July 2023

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zbMATH Keywords

fractal mobile/immobile Allen-Cahn equation

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averaged L1 scheme

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spectral norm inequality

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graded meshes

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convergence analysis

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10915-023-02276-5

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cites work

The Energy Technique for the Six-Step BDF Method

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Fast and high-order accuracy numerical methods for time-dependent nonlocal problems in $\mathbb{R}^2$

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Unconditionally optimal convergence of a linearized Galerkin FEM for the nonlinear time-fractional mobile/immobile transport equation

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Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

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An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation

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Analysis of adaptive BDF2 scheme for diffusion equations

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An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation

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An efficient QSC approximation of variable-order time-fractional mobile-immobile diffusion equations with variably diffusive coefficients

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Non Fickian flux for advection–dispersion with immobile periods

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A second-order accurate numerical method for a fractional wave equation

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Discretization with variable time steps of an evolution equation with a positive-type memory term

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The random walk's guide to anomalous diffusion: A fractional dynamics approach

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An $L1$ Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes

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A second-order accurate numerical scheme for a time-fractional Fokker–Planck equation

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Q3410604

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Spectral Methods

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

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A lower bound for the smallest singular value of a matrix

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Error estimates of a continuous Galerkin time stepping method for subdiffusion problem

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A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations

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Error analysis of nonlinear time fractional mobile/immobile advection-diffusion equation with weakly singular solutions

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Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions

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An averaged $L 1$-type compact difference method for time-fractional mobile/immobile diffusion equations with weakly singular solutions

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Identifiers

DOI

10.1007/s10915-023-02276-5

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6111351