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Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels - MaRDI portal

Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels (Q2227662)

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English	Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels	scientific article

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scholarly article

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Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels (English)

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Applied Numerical Mathematics

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publication date

15 February 2021

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zbMATH Keywords

time-fractional integro-differential equations

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weak singularity

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compact \(L1\)-ADI scheme

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stability and convergence

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2020.09.006

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A new difference scheme for the time fractional diffusion equation

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The Numerical Solution of Integral Equations of the Second Kind

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A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel

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A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations

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Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains

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A fitted scheme for a Caputo initial-boundary value problem

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An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data

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Fast high order difference schemes for the time fractional telegraph equation

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Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

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Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Crank-Nicolson Quasi-Wavelet Based Numerical Method for Volterra Integro-Differential Equations on Unbounded Spatial Domains

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A high-order method with a temporal nonuniform mesh for a time-fractional Benjamin-Bona-Mahony equation

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A graded scheme with bounded grading for a time-fractional Boussinesq type equation

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A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation

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Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains

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REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION

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Finite difference approximations for fractional advection-dispersion flow equations

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Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations

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An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel

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An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation

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

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A fully discrete difference scheme for a diffusion-wave system

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A finite difference scheme for partial integro-differential equations with a weakly singular kernel

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A class of second order difference approximations for solving space fractional diffusion equations

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Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

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A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation

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Exponential compact ADI method for a coupled system of convection-diffusion equations arising from the 2D unsteady magnetohydrodynamic (MHD) flows

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Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel

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A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D

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Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

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Identifiers

zbMATH Open document ID

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10.1016/j.apnum.2020.09.006

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2227662

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