Non-monotone convergence schemes
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.
Keywords:
nonlinear boundary value problem, monotone iterations, Neumann boundary condition, non-monotone iterationsHow to Cite
Dobkevich, M. (2012). Non-monotone convergence schemes. Mathematical Modelling and Analysis, 17(4), 589-597. https://doi.org/10.3846/13926292.2012.711780
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2012-09-01
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Copyright
Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Dobkevich, M. (2012). Non-monotone convergence schemes. Mathematical Modelling and Analysis, 17(4), 589-597. https://doi.org/10.3846/13926292.2012.711780