An \(\varepsilon\)-uniform hybrid scheme for singularly perturbed delay differential equations

DOI10.1016/J.AMC.2011.02.089zbMath1220.65102OpenAlexW2090830854MaRDI QIDQ545965

Rajesh K. Bawa, Vinod Kumar, A. K. Lal

Publication date: 24 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.089

zbMATH Keywords

singular perturbationnumerical experimentsdelay differential equationShishkin meshtruncation errorhybrid schemebackward difference operator

Mathematics Subject Classification ID

Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Singular perturbations of functional-differential equations (34K26) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (4)

Exponential fitting Runge-Kutta methods for the delayed recruitment/renewal equation ⋮ Layer-adapted methods for quasilinear singularly perturbed delay differential problems ⋮ Asymptotic initial value technique for singularly perturbed convection-diffusion delay problems with boundary and weak interior layers ⋮ A robust computational technique for a system of singularly perturbed reaction-diffusion equations

Cites Work

• The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Uniform numerical method for singularly perturbed delay differential equations
• Oscillation and Chaos in Physiological Control Systems
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