Uniform \(l^1\) behavior of the first-order interpolant quadrature scheme for some partial integro-differential equations

DOI10.1016/j.aml.2021.107097zbMath1472.65104OpenAlexW3131890698WikidataQ115360725 ScholiaQ115360725MaRDI QIDQ2022273

Da Xu

Publication date: 28 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107097

zbMATH Keywords

error estimatesevolution equationweakly singular kernelnon-smooth datainterpolating quadrature

Mathematics Subject Classification ID

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) Laplace transform (44A10) Volterra integral equations (45D05) Numerical integration (65D30) Integro-partial differential equations (35R09)

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The uniform \(l^1\) long-time behavior of time discretization for time-fractional partial differential equations with nonsmooth data ⋮ Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity

Cites Work

• Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
• The long-time global behavior of time discretization for fractional order Volterra equations
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• An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
• Uniform $l^{1}$ Behavior for Time Discretization of a Volterra Equation with Completely Monotonic Kernel II: Convergence
• Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations
• Numerical solution of an evolution equation with a positive-type memory term
• An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
• Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

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