A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation

DOI10.1007/s40314-022-02142-4OpenAlexW4312224081MaRDI QIDQ2685267

Li-Bin Liu, Guangqing Long, Yige Liao

Publication date: 20 February 2023

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

Full work available at URL: https://doi.org/10.1007/s40314-022-02142-4

zbMATH Keywords

Shishkin meshVolterra integro-differential equationsingularly perturbedBDF2orthogonal convolution kernels

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (3)

A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations ⋮ Uniform convergence analysis of the BDF2 scheme on Bakhvalov-type meshes for a singularly perturbed Volterra integro-differential equation ⋮ Error estimate of BDF2 scheme on a Bakhvalov-type mesh for a singularly perturbed Volterra integro-differential equation

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