A nonstandard method for a coupled system of singularly perturbed delay differential equations
From MaRDI portal
Publication:2114752
DOI10.1007/s40819-021-01057-8zbMath1499.34378OpenAlexW3165841951WikidataQ115372121 ScholiaQ115372121MaRDI QIDQ2114752
Trun Gupta, Pramod Chakravarthy Podila
Publication date: 15 March 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-021-01057-8
singular perturbationconvection-diffusion problemdelay differential equationparameter-uniformnonstandard method
Linear functional-differential equations (34K06) Boundary value problems for functional-differential equations (34K10) Singular perturbations of functional-differential equations (34K26) Numerical methods for functional-differential equations (65L03)
Cites Work
- Unnamed Item
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- A uniformly convergent nonstandard finite difference scheme for a system of convection-diffusion equations
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Asymptotic solution of a boundary-value problem for linear singularly-perturbed functional differential equations arising in optimal control theory
- Mathematical biology. Vol. 1: An introduction.
- Mathematical analysis of delay differential equation models of HIV-1 infection
- An analysis of Stein's model for stochastic neuronal excitation
- Blockwise estimate of the fundamental matrix of linear singularly perturbed differential systems with small delay and its application to uniform asymptotic solution
- Numerical solution of the state-delayed optimal control problems by a fast and accurate finite difference \(\theta\)-method
- Fitted Numerical Methods For Singular Perturbation Problems
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations
- A Differential-Delay Equation Arising in Optics and Physiology
- Elements of Mathematical Ecology
- Suboptimal control of fractional-order dynamic systems with delay argument
- Oscillation and Chaos in Physiological Control Systems
- A NUMERICAL SCHEME FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS OF CONVECTION-DIFFUSION TYPE ON AN ADAPTIVE GRID
- AN INITIAL VALUE METHOD FOR SINGULARLY PERTURBED SYSTEM OF REACTION-DIFFUSION TYPE DELAY DIFFERENTIAL EQUATIONS
- An Efficient Finite Difference Method for The Time‐Delay Optimal Control Problems With Time‐Varying Delay