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Numerical analysis of boundary-value problems for singularly-perturbed differential-difference equations with small shifts of mixed type. (English) Zbl 1023.65079

The authors consider the boundary-value problem for a singularly-perturbed differential-difference equation of a mixed type, i.e. containing both terms having a positive shift and terms having a negative shift. The shifts are small, but they need not be the same. An interesting method is presented and is also analyzed for convergence. The reported numerical experiments show that the method is efficient and easy to implement, provided the shifts are of small order.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
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