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Original Articles

Non-Monotone Convergence Schemes

Pages 589-597 | Received 13 Sep 2011, Accepted 10 Jul 2012, Published online: 24 Aug 2012
 

Abstract

We consider the second order BVP x″ = f (t, x, x′), x′(a) = A, x′(b) = B provided that there exist α and β (lower and upper functions) such that: β′ (α) < A < α′(a) and β′(b) < B < α′ (b). We consider monotone and non-monotone approximations of solutions to the Neumann problem. The results and examples are provided.

AMS Subject Classification:

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