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

DOI10.1080/00207160.2023.2212307OpenAlexW4375950341MaRDI QIDQ6117122

Xuehua Yang, Jie Tang, Unnamed Author, Hai-xiang Zhang

Publication date: 16 August 2023

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2023.2212307

zbMATH Keywords

finite difference methodalternating direction implicitweakly singular kernelstability and convergencenonlocal evolution equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

• Unnamed Item
• Unnamed Item
• Collocation methods for fractional integro-differential equations with weakly singular kernels
• SCW method for solving the fractional integro-differential equations with a weakly singular kernel
• On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. I: Smooth initial data
• On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. II: Nonsmooth initial data
• A discrete collocation method for Fredholm integro-differential equations with weakly singular kernels
• A finite difference scheme for partial integro-differential equations with a weakly singular kernel
• The global behavior of time discretization for an abstract Volterra equation in Hilbert space
• Numerical asymptotic stability for the integro-differential equations with the multi-term kernels
• The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability
• Fast ADI difference/compact difference schemes for the nonlocal evolution equation with weakly singular kernels in three dimensions
• Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
• A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem
• Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel
• Numerical solution of partial integro-differential equation with a weakly singular kernel based on Sinc methods
• A time two-grid algorithm for the two dimensional nonlinear fractional PIDE with a weakly singular kernel
• An efficient ADI difference scheme for the nonlocal evolution problem in three-dimensional space
• The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence
• An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels
• Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
• A second-order accurate numerical method for a semilinear integro-differential equation with a weakly singular kernel
• A Numerical Method for a Partial Integro-Differential Equation
• Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel
• Fractional integration operator for numerical solution of the integro-partial time fractional diffusion heat equation with weakly singular kernel
• A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation

This page was built for publication: An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions