Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid
From MaRDI portal
Publication:5079551
DOI10.4208/jcm.2008-m2020-0063zbMath1499.65282OpenAlexW4205481468WikidataQ114021199 ScholiaQ114021199MaRDI QIDQ5079551
Ying Liang, Yanping Chen, Li-Bin Liu
Publication date: 27 May 2022
Published in: Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/jcm.2008-m2020-0063
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems
- A robust adaptive grid method for a system of two singularly perturbed convection-diffusion equations with weak coupling
- Fitted finite difference method for singularly perturbed delay differential equations
- A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations
- 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
- Numerical method for a singularly perturbed convection-diffusion problem with delay
- A uniform numerical method for dealing with a singularly perturbed delay initial value problem
- Uniform difference method for parameterized singularly perturbed delay differential equations
- Ordinary and delay differential equations
- Numerical modelling in biosciences using delay differential equations
- Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations
- Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence
- Mathematical modelling of the intravenous glucose tolerance test
- A posteriori error estimation for a singularly perturbed Volterra integro-differential equation
- On discontinuous Galerkin finite element method for singularly perturbed delay differential equations
- Errors of linear multistep methods for singularly perturbed Volterra delay-integro-differential equations
- An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
- Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay
- 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
- Legendre spectral collocation methods for Volterra delay-integro-differential equations
- Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem
- Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling
- A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem
- A NUMERICAL SCHEME FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS OF CONVECTION-DIFFUSION TYPE ON AN ADAPTIVE GRID
- A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation
- A Simplex Method for Function Minimization
