A comparative study on the numerical solution for singularly perturbed Volterra integro-differential equations

DOI10.1007/S10598-021-09536-9zbMath1492.65216OpenAlexW3215449623WikidataQ115384027 ScholiaQ115384027MaRDI QIDQ2135322

Narahari Raji Reddy, Abhilipsa Panda, Jugal Mohapatra

Publication date: 6 May 2022

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

Full work available at URL: https://doi.org/10.1007/s10598-021-09536-9

zbMATH Keywords

singular perturbationRichardson extrapolationupwind schemeVolterra integro-differential equationhybrid scheme

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (4)

A stable numerical method for singularly perturbed Fredholm integro differential equation using exponentially fitted difference method ⋮ A uniformly convergent numerical method for singularly perturbed semilinear integro-differential equations with two integral boundary conditions ⋮ A second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equation ⋮ An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition

Cites Work

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• Numerical solution of a singularly perturbed Volterra integro-differential equation
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• Uniformly convergent second order numerical method for a class of parameterized singular perturbation problems
• A second-order post-processing technique for singularly perturbed Volterra integro-differential equations
• A posteriori error estimation for a singularly perturbed Volterra integro-differential equation
• Singularly Perturbed Volterra Integro-differential Equations
• A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation

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