A second-order finite difference method for the multi-term fourth-order integral-differential equations on graded meshes
type: Item
instance of: scholarly article
title: A second-order finite difference method for the multi-term fourth-order integral-differential equations on graded meshes
author: Lijiao Wu
author: Xuehua Yang
author: Haixiang Zhang
author: Furong Wang
published in: Computational and Applied Mathematics
publication date: 2022-10-14T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35K61
zbMATH DE Number: 7601606
zbMATH Keywords: fourth-order integral-differential equation
zbMATH Keywords: finite difference method
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s40314-022-02026-7
OpenAlex ID: W4296101115
cites work: The Numerical Solution of Integral Equations of the Second Kind
cites work: A note on the convergence of product integration and Galerkin method for weakly singular integral equations
cites work: Q5866733
cites work: A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel
cites work: A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation
cites work: Functional Fractional Calculus
cites work: Trapezoidal methods for fractional differential equations: theoretical and computational aspects
cites work: A compact finite difference scheme for the fourth-order fractional diffusion-wave system
cites work: On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
cites work: A backward Euler difference scheme for the integro-differential equations with the multi-term kernels
cites work: A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
cites work: Discretization with variable time steps of an evolution equation with a positive-type memory term
cites work: A second-order accurate numerical method for a semilinear 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 finite difference scheme for partial integro-differential equations with a weakly singular kernel
cites work: A compact finite difference scheme for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel
cites work: The uniform \(l^1\) long-time behavior of time discretization for time-fractional partial differential equations with nonsmooth data
cites work: Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel
cites work: Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel
cites work: The OSC solver for the fourth-order sub-diffusion equation with weakly singular solutions
cites work: Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
cites work: Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
Wikidata QID: Q114219243
DOI: 10.1007/S40314-022-02026-7
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description: scientific article; zbMATH DE number 7601606