Monotone iteration discretization algorithm for BVP's |
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| Authors: | M Al-Zanaidi Ch Grossmann |
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| Affiliation: | 1. Dept. Mathematics, Kuwait University, P. O. Box 5969, Safat, Kuwait
2. Dept. Mathematics, Dresden University of Technology, Mommsenstrasse 13, DDR-8027, Dresden, German Democratic Republic
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| Abstract: | In this paper we propose a new discretization technique generating enclosures of the solution of a weakly nonlinear 2-point boundary value problem. By means of available extimations lower and upper solutions are generated. The monotonicity of the method is guaranteed by principles of monotone iterations. The convergence properties of the proposed algorithm are analyzed. |
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