A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
A brief survey on numerical methods for solving singularly perturbed problems
A finite-difference method for a singularly perturbed delay integro-differential equation
A uniformly convergent nonstandard finite difference scheme for a system of convection-diffusion equations
A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations
Uniform difference method for singularly perturbed Volterra integro-differential equations
Additive schemes based domain decomposition algorithm for solving singularly perturbed parabolic reaction-diffusion systems
A fitted operator finite difference method of lines for singularly perturbed parabolic convection-diffusion problems
A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems
Analysis of a nonlinear singularly perturbed Volterra integro-differential equation
A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition
A high order convergent adaptive numerical method for singularly perturbed nonlinear systems
Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation
A second-order post-processing technique for singularly perturbed Volterra integro-differential equations
Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers
A posteriori error estimation for a singularly perturbed Volterra integro-differential equation
The coupled method for singularly perturbed Volterra integro-differential equations
Vito Volterra and theoretical ecology
Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions
A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution
A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation
Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems
Classroom Note:Numerical and Analytical Solutions of Volterra's Population Model
Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point
A uniformly convergent numerical method for a singularly perturbed Volterra integro-differential equation
A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation
A new difference method for the singularly perturbed Volterra-Fredholm integro-differential equations on a Shishkin mesh
Global dynamics for a class of infection-age model with nonlinear incidence
Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term
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