Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations
DOI10.1080/01630563.2021.1928698OpenAlexW3165874937WikidataQ115302461 ScholiaQ115302461MaRDI QIDQ5005297
Zaitang Huang, Guangqing Long, Li-Bin Liu
Publication date: 9 August 2021
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2021.1928698
Volterra integro-differential equationsingularly perturbedadaptive griduniform convergentmesh equidistribution principle
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)
Related Items (5)
Cites Work
- Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers
- Richardson extrapolation technique for singularly perturbed parabolic convection--diffusion problems
- Numerical solution of a singularly perturbed Volterra integro-differential equation
- A finite-difference method for a singularly perturbed delay integro-differential equation
- Uniform difference method for singularly perturbed Volterra integro-differential equations
- Implicit Runge-Kutta methods for some integrodifferential-algebraic equations
- Uniform pointwise convergence for a singularly perturbed problem using arc-length equidistribution.
- Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem
- Tension spline collocation methods for singularly perturbed Volterra integro-differential and Volterra integral equations
- Numerical modelling in biosciences using delay differential equations
- Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh
- Implicit Runge-Kutta methods for singularly perturbed integro-differential systems
- Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence
- Mathematical modelling of the intravenous glucose tolerance test
- Convergence analysis of Richardson extrapolation for a quasilinear singularly perturbed problem with an integral boundary condition on an adaptive grid
- A second-order adaptive grid method for a nonlinear singularly perturbed problem with an integral boundary condition
- A posteriori error estimation for a singularly perturbed Volterra integro-differential equation
- A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition
- A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems
- The role of delays in innate and adaptive immunity to intracellular bacterial infection
- Difference schemes of exponential type for singularly perturbed Volterra integro-differential problems
- Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid
- Richardson Extrapolation Method for SingularlyPerturbed Convection-Diffusion Problems on AdaptivelyGenerated Mesh
- Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid
- A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem
- Error expansion for a first-order upwind difference scheme applied to a model convection-diffusion problem
- 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
This page was built for publication: Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations
