Numerical asymptotic stability for the integro-differential equations with the multi-term kernels

DOI10.1016/j.amc.2017.03.046zbMath1411.45006OpenAlexW2607109722MaRDI QIDQ1738103

Da Xu

Publication date: 29 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.03.046

zbMATH Keywords

convolution quadraturecompletely monotonic kernelclasses of integro-differential equationssecond order backward difference type methodsweighted \(l^{1}\) asymptotic stability

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (14)

A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels ⋮ An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel ⋮ Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation ⋮ Second-order difference approximations for Volterra equations with the completely monotonic kernels ⋮ An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions ⋮ Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels ⋮ An efficient Sinc‐collocation method by the single exponential transformation for the nonlinear fourth‐order partial integro‐differential equation with multiterm kernels ⋮ The finite difference method for the fourth‐order partial integro‐differential equations with the multi‐term weakly singular kernel ⋮ An implicit difference scheme for the fourth-order nonlinear partial integro-differential equations ⋮ Analysis of BDF2 finite difference method for fourth-order integro-differential equation ⋮ BDF ADI orthogonal spline collocation scheme for the fractional integro-differential equation with two weakly singular kernels ⋮ An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel ⋮ A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels ⋮ A backward Euler difference scheme for the integro-differential equations with the multi-term kernels

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