Numerical solution of a singularly perturbed Volterra integro-differential equation
type: Item
instance of: scholarly article
title: Numerical solution of a singularly perturbed Volterra integro-differential equation
zbMATH Open document ID: 1343.45009
DOI: 10.1186/1687-1847-2014-171
published in: Advances in Difference Equations
publication date: 2016-09-02T00:00:00Z
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65L11
zbMATH DE Number: 6622258
zbMATH Keywords: singular perturbation
zbMATH Keywords: Volterra integro-differential equations
zbMATH Keywords: difference scheme
zbMATH Keywords: uniform convergence
zbMATH Keywords: graded mesh
Wikidata QID: Q59321817
author: Sebaheddin Şevgin
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2014-171
OpenAlex ID: W1967786809
cites work: Singularly Perturbed Volterra Integral Equations
cites work: An Algorithm for Approximate Solutions to Weakly Filtered Synchronous Control Systems and Nonlinear Renewal Processes
cites work: A nonlinear singularly perturbed Volterra integrodifferential equation of nonconvolution type
cites work: A nonlinear singularly perturbed Volterra integrodifferential equation occurring in polymer rheology
cites work: Singular perturbation analysis of an integrodifferential equation modelling filament stretching
cites work: Singularly Perturbed Volterra Integral Equations II
cites work: Singularly Perturbed Volterra Integro-differential Equations
cites work: Q3909948
cites work: Q4485828
cites work: Q4379541
cites work: Q4871736
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
cites work: Implicit Runge-Kutta methods for some integrodifferential-algebraic equations
cites work: Implicit Runge-Kutta methods for singularly perturbed integro-differential systems
cites work: A survey of singularly perturbed Volterra equations
cites work: Fourth order scheme of exponential type for singularly perturbed volterra integro-differential equations
cites work: Tension spline collocation methods for singularly perturbed Volterra integro-differential and Volterra integral equations
cites work: Q4585458
cites work: Piecewise-quasilinearization techniques for singularly perturbed Volterra integro-differential equations
cites work: Difference schemes of exponential type for singularly perturbed Volterra integro-differential problems
cites work: Errors of linear multistep methods for singularly perturbed Volterra delay-integro-differential equations
cites work: Layer-adapted meshes for reaction-convection-diffusion problems
cites work: Uniform difference method for singularly perturbed Volterra integro-differential equations
cites work: Q4716884
cites work: Uniform difference method for a parameterized singular perturbation problem
cites work: The convergence of a finite difference method on layer-adapted mesh for a singularly perturbed system
cites work: Q4868576
cites work: Numerical solution of a singularly perturbed three-point boundary value problem
description: scientific article; zbMATH DE number 6622258