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Second order accuracy difference scheme for approximate solutions of delay differential equations. (English) Zbl 1031.65088

Summary: We describe a second-order accuracy difference scheme for the approximate solutions of linear delay differential equations. A sufficient condition for the stability of this difference scheme is given. A convergence estimate for the difference scheme is obtained.

MSC:

65L12 Finite difference and finite volume methods for ordinary differential equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
65L20 Stability and convergence of numerical methods for ordinary differential equations