Fast ADI difference/compact difference schemes for the nonlocal evolution equation with weakly singular kernels in three dimensions
type: Item
instance of: scholarly article
title: Fast ADI difference/compact difference schemes for the nonlocal evolution equation with weakly singular kernels in three dimensions
author: Yanyan Li
published in: Mathematics and Computers in Simulation
publication date: 2022-02-22T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 39-XX
zbMATH DE Number: 7478801
zbMATH Keywords: three-dimensional evolution equation
zbMATH Keywords: ADI difference/compact difference methods
zbMATH Keywords: second-order convolution quadrature
zbMATH Keywords: stability and convergence
zbMATH Keywords: numerical simulation
MaRDI profile type: Publication
full work available at URL: j.matcom.2021.12.005
OpenAlex ID: W4200467378
cites work: Numerical simulation for the three-dimension fractional sub-diffusion equation
cites work: A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation
cites work: A new ADI scheme for solving three-dimensional parabolic differential equations
cites work: Integrodifferential equation which interpolates the heat equation and the wave equation
cites work: A fourth-order approximation of fractional derivatives with its applications
cites work: Q5699297
cites work: Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
cites work: A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
cites work: Discretized Fractional Calculus
cites work: Convolution quadrature and discretized operational calculus. I
cites work: Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
cites work: Numerical solution of an evolution equation with a positive-type memory term
cites work: Discretization with variable time steps of an evolution equation with a positive-type memory term
cites work: Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel
cites work: Q4233638
cites work: A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem
cites work: An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation
cites work: A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation
cites work: An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel
cites work: A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels
cites work: A fully discrete difference scheme for a diffusion-wave system
cites work: Q4855462
cites work: Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
cites work: Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
cites work: Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations
cites work: An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels
cites work: A compact locally one-dimensional method for fractional diffusion-wave equations
cites work: The global behavior of time discretization for an abstract Volterra equation in Hilbert space
cites work: An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation
cites work: An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
cites work: A stable fast time-stepping method for fractional integral and derivative operators
cites work: A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations
cites work: Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
cites work: Compact alternating direction implicit scheme for the two-dimensional fractional diffusion-wave equation
cites work: Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel
DOI: 10.1016/J.MATCOM.2021.12.005
description: scientific article; zbMATH DE number 7478801