Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation

DOI10.1016/J.CHAOS.2021.111100zbMath1498.65127OpenAlexW3166499094WikidataQ115359128 ScholiaQ115359128MaRDI QIDQ2145438

Ömer Yapman, Gabil M. Amiraliyev

Publication date: 17 June 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111100

zbMATH Keywords

singular perturbationfinite difference methoduniform convergenceVolterra delay-integro-differential equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) 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 (7)

Numerical Solution of a Singularly Perturbed Fredholm Integro Differential Equation with Robin Boundary Condition ⋮ On the convergence analysis of efficient numerical schemes for singularly perturbed second order Volterra integro-differential equations ⋮ A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations ⋮ An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation ⋮ Uniform convergence analysis of the BDF2 scheme on Bakhvalov-type meshes for a singularly perturbed Volterra integro-differential equation ⋮ A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations ⋮ An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition

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