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Zbl 1195.65089
Amiraliyev, Gabil M.; Cimen, Erkan
Numerical method for a singularly perturbed convection-diffusion problem with delay. (English)
[J] Appl. Math. Comput. 216, No. 8, 2351-2359 (2010). ISSN 0096-3003

The authors analyze a singularly perturbed boundary value problem for a linear second-order delay differential equation. Convergence analysis is performed and numerical results are also provided.
[Răzvan Răducanu (Iaşi)]

MSC 2000:: *65L03
34K06 Linear functional-differential equations
34K10 Boundary value problems for functional-differential equations
34K28 Numerical approximation of solutions of FDE
65L10 Boundary value problems for ODE (numerical methods)
65L20 Stability of numerical methods for ODE
65L12 Finite difference methods for ODE
34E15 Asymptotic singular perturbations, general theory (ODE)

Keywords: singular perturbation; boundary value problem; fitted difference method; delay differential equation; convergence; numerical results

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