The long-time global behavior of time discretization for fractional order Volterra equations

DOI10.1007/s100920050010zbMath0917.65113OpenAlexW388045247MaRDI QIDQ1282126

Da Xu

Publication date: 11 August 1999

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s100920050010

zbMATH Keywords

stabilitylinear viscoelasticitytime discretizationfractional order Volterra equationslong-time global behavior

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Dynamical problems in solid mechanics (74Hxx)

Related Items (15)

The asymptotic behavior for numerical solution of a Volterra equation ⋮ Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel ⋮ Finite central difference/finite element approximations for parabolic integro-differential equations ⋮ Quasi wavelet based numerical method for a class of partial integro-differential equation ⋮ ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations ⋮ A fast numerical solution of the <scp>3D</scp> nonlinear tempered fractional integrodifferential equation ⋮ Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels ⋮ Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion ⋮ The numerical analysis on a Volterra equation with asymptotically periodic solution ⋮ Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation ⋮ Uniform \(l^1\) behavior of the first-order interpolant quadrature scheme for some partial integro-differential equations ⋮ The uniform \(l^1\) long-time behavior of time discretization for time-fractional partial differential equations with nonsmooth data ⋮ The uniform \(L^2\) behavior for time discretization of an evolution equation ⋮ Fast BDF2 ADI methods for the multi-dimensional tempered fractional integrodifferential equation of parabolic type ⋮ Uniform \(L^1\) error bounds for the semidiscrete solution of a Volterra equation with completely monotonic convolution kernel

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