Uniform convergence analysis of the BDF2 scheme on Bakhvalov-type meshes for a singularly perturbed Volterra integro-differential equation

DOI10.1016/j.aml.2023.108755OpenAlexW4380758735MaRDI QIDQ6114972

Tang-Wei Liu, Limin Ye, Li-Bin Liu, Yige Liao

Publication date: 15 August 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108755

zbMATH Keywords

Volterra integro-differential equationsingularly perturbedBakhvalov-type meshtwo-step backward differentiation formula

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for integral equations, integral transforms (65Rxx)

Cites Work

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• Numerical solution of a singularly perturbed Volterra integro-differential equation
• Analysis of a nonlinear singularly perturbed Volterra integro-differential equation
• Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation
• A posteriori error estimation for a singularly perturbed Volterra integro-differential equation
• Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay
• A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation
• A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation
• Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations
• A uniformly convergent numerical method for a singularly perturbed Volterra integro-differential equation
• A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation
• Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh
• Analysis of adaptive BDF2 scheme for diffusion equations
• Sufficient conditions for uniform convergence on layer-adapted grids

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