Exponential fitting Runge-Kutta methods for the delayed recruitment/renewal equation

DOI10.1016/J.CAM.2016.02.017zbMath1382.65203OpenAlexW2281630742MaRDI QIDQ269356

Shengli Duan, Hong-Jiong Tian

Publication date: 18 April 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.02.017

zbMATH Keywords

singular perturbationuniform convergencedelay differential equationRunge-Kutta methodexponential fitting

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical methods for functional-differential equations (65L03)

Cites Work

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• An \(\varepsilon\)-uniform hybrid scheme for singularly perturbed delay differential equations
• Delay differential equations: with applications in population dynamics
• The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag
• Ordinary and delay differential equations
• Asymptotic expansion for the solution of singularly perturbed delay differential equations
• Uniform numerical method for singularly perturbed delay differential equations
• Modelling Biological Populations in Space and Time
• Oscillation and Chaos in Physiological Control Systems

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