An efficient numerical method for coupled systems of singularly perturbed parabolic delay problems
DOI10.1007/s40314-021-01733-xzbMath1499.65365OpenAlexW4200569644MaRDI QIDQ2065018
Aakansha, Sunil Kumar, Joginder Singh
Publication date: 6 January 2022
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01733-x
Diffusion (76R50) Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) PDEs on time scales (35R07)
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- An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems
- Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems
- On a class of non-linear delay distributed order fractional diffusion equations
- A fitted numerical method for a system of partial delay differential equations
- A novel fitted operator finite difference method for a singularly perturbed delay parabolic partial differential equation
- A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations
- Delay differential equations: with applications in population dynamics
- A uniform numerical method for dealing with a singularly perturbed delay initial value problem
- Interaction of spatial diffusion and delays in models of genetic control by repression
- Modelling autonomous oscillations in the human pupil light reflex using nonlinear delay-differential equations
- Asymptotic solution of a boundary-value problem for linear singularly-perturbed functional differential equations arising in optimal control theory
- Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
- Transition layers for singularly perturbed delay differential equations with monotone nonlinearities
- Genetic control models with diffusion and delays
- Singularly perturbed problems in partial differential equations: A survey
- Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm
- Asymptotic stability of compact and linear \(\theta \)-methods for space fractional delay generalized diffusion equation
- BDF-type shifted Chebyshev approximation scheme for fractional functional differential equations with delay and its error analysis
- High order parameter-uniform discretization for singularly perturbed parabolic partial differential equations with time delay
- A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
- An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
- Additive schemes for certain operator-differential equations
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems
- Oscillation and Chaos in Physiological Control Systems
- A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay
- Convergence and stability estimates in difference setting for time‐fractional parabolic equations with functional delay
- A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
- Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system
- A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems
- An Introduction to Delay Differential Equations with Applications to the Life Sciences
- A second-order finite difference scheme for a class of singularly perturbed delay differential equations