A second order monotone upwind scheme

We analyze a special finite difference scheme of upwind type for an ordinary singularly perturbed nonlinear boundary value problem. In particular we prove the uniqueness and monotone dependence upon the right hand sides of the discrete solutions and the second order accuracy in the global domain.ZusammenfassungWir analysieren ein spezielles upwind-Differenzenschema für ein gewöhnliches, nichtlineares, singulär gestörtes Randwertproblem. Es wird insbesondere gezeigt, daß die Lösung des diskreten Problems eindeutig ist sowie monoton von der rechten Seite abhängt. Im globalen Gebiet ist die Methode von zweiter Ordnung.

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