Fitted finite difference method for singularly perturbed delay differential equations

DOI10.1007/s11075-011-9480-7zbMath1236.65098OpenAlexW2060486240MaRDI QIDQ662885

Gabil M. Amiraliyev, Fevzi Erdogan

Publication date: 13 February 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9480-7

zbMATH Keywords

singular perturbationerror estimatesuniform convergencenumerical examplesinitial value problemlinear second-order delay differential equationexponentially fitted difference scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear functional-differential equations (34K06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Singular perturbations of functional-differential equations (34K26) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical methods for functional-differential equations (65L03)

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