Fitted reproducing kernel method for singularly perturbed delay initial value problems

DOI10.1016/j.amc.2016.03.006zbMath1410.65241OpenAlexW2320948064MaRDI QIDQ1733455

Fazhan Geng, Zhiqiang Tang

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.006

zbMATH Keywords

delayreproducing kernel methodsingularly perturbed initial value problems

Mathematics Subject Classification ID

Singular perturbations of functional-differential equations (34K26) Numerical methods for functional-differential equations (65L03)

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Cites Work

• Unnamed Item
• Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations
• Numerical study of singularly perturbed differential-difference equation arising in the modeling of neuronal variability
• A reproducing kernel method for solving nonlocal fractional boundary value problems
• Numerical analysis of singularly perturbed delay differential turning point problem
• Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations
• Solving a nonlinear system of second order boundary value problems
• 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
• An exponentially fitted method for singularly perturbed delay differential equations
• Error estimation for the reproducing kernel method to solve linear boundary value problems
• A continuous method for nonlocal functional differential equations with delayed or advanced arguments
• Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers
• Piecewise reproducing kernel method for singularly perturbed delay initial value problems
• Solving singular two-point boundary value problem in reproducing kernel space
• Uniform numerical method for singularly perturbed delay differential equations
• A numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations
• A parameter uniform B-spline collocation method for solving singularly perturbed turning point problem having twin boundary layers