A second-order post-processing technique for singularly perturbed Volterra integro-differential equations

DOI10.1007/s00009-021-01873-8OpenAlexW3200132617WikidataQ115390242 ScholiaQ115390242MaRDI QIDQ2238750

Abhilipsa Panda, Ilhame Amirali, Jugal Mohapatra

Publication date: 2 November 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01873-8

zbMATH Keywords

uniform convergenceintegro-differential equationcomposite trapezoidal rulepost-processing technique

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (15)

A comparative study on the numerical solution for singularly perturbed Volterra integro-differential equations ⋮ A new difference method for the singularly perturbed Volterra-Fredholm integro-differential equations on a Shishkin mesh ⋮ A robust finite difference method for the solutions of singularly perturbed Fredholm integro-differential equations ⋮ A comparative study on some semi-analytical methods for the solutions of fractional partial integro-differential equations ⋮ On the convergence analysis of efficient numerical schemes for singularly perturbed second order Volterra integro-differential equations ⋮ Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation ⋮ A numerical approach for singularly perturbed reaction diffusion type Volterra-Fredholm integro-differential equations ⋮ A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations ⋮ Analysis of finite difference schemes for Volterra integro-differential equations involving arbitrary order derivatives ⋮ A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation ⋮ 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 ⋮ A novel approach for solving multi-term time fractional Volterra-Fredholm partial integro-differential equations

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