Fast ADI difference/compact difference schemes for the nonlocal evolution equation with weakly singular kernels in three dimensions

DOI10.1016/j.matcom.2021.12.005OpenAlexW4200467378MaRDI QIDQ2076760

Yanyan Li

Publication date: 22 February 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.12.005

zbMATH Keywords

numerical simulationstability and convergencesecond-order convolution quadratureADI difference/compact difference methodsthree-dimensional evolution equation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Difference and functional equations (39-XX)

Related Items (1)

An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations
• A compact locally one-dimensional method for fractional diffusion-wave equations
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• A fourth-order approximation of fractional derivatives with its applications
• Convolution quadrature and discretized operational calculus. I
• A new ADI scheme for solving three-dimensional parabolic differential equations
• The global behavior of time discretization for an abstract Volterra equation in Hilbert space
• Numerical simulation for the three-dimension fractional sub-diffusion equation
• A stable fast time-stepping method for fractional integral and derivative operators
• Integrodifferential equation which interpolates the heat equation and the wave equation
• Discretization with variable time steps of an evolution equation with a positive-type memory term
• Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel
• An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel
• A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations
• Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
• A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation
• A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem
• An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation
• An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation
• A fully discrete difference scheme for a diffusion-wave system
• Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
• An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels
• Discretized Fractional Calculus
• Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
• Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel
• Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
• An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
• A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
• Numerical solution of an evolution equation with a positive-type memory term
• Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
• A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation
• A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels

This page was built for publication: Fast ADI difference/compact difference schemes for the nonlocal evolution equation with weakly singular kernels in three dimensions