On the Volterra Delay-Integro-Differential equation with layer behavior and its numerical solution

DOI10.18514/MMN.2019.2424zbMath1438.65319OpenAlexW2964668443WikidataQ115234142 ScholiaQ115234142MaRDI QIDQ5228236

Ömer Yapman, Gabil M. Amiraliyev

Publication date: 9 August 2019

Published in: Miskolc Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18514/mmn.2019.2424

zbMATH Keywords

singular perturbationuniform convergencefinite differenceVolterra delay-integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Volterra integral equations (45D05) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method ⋮ Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation ⋮ Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation ⋮ An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation ⋮ A novel uniform numerical approach to solve a singularly perturbed Volterra integro-differential equation ⋮ A robust numerical method for a singularly perturbed Fredholm integro-differential equation

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