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Zbl 1213.65108
Kadalbajoo, M.K.; Sharma, K.K.
Numerical treatment of boundary value problems for second order singularly perturbed delay differential equations. (English)
[J] Comput. Appl. Math. 24, No. 2, 151-172 (2005). ISSN 0101-8205; ISSN 1807-0302/e

Summary: In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve such boundary value problems. The stability and convergence analysis of the method is studied. The solution of the boundary value problems when delay is zero, exhibits layer behavior. Here, the study focuses on the effect of delay on the boundary layer behavior of the solution via numerical approach. The effect of the delay on the boundary layer behavior of the solution is shown by carrying out some numerical experiments.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE
34E15 Asymptotic singular perturbations, general theory (ODE)
65L12 Finite difference methods for ODE

Keywords: delay differential equation; singularly perturbed boundary value problem; boundary layer; oscillations

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