Monotone iteration descretization algorithm for BVP's (Q1114359)
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scientific article; zbMATH DE number 4082882
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotone iteration descretization algorithm for BVP's |
scientific article; zbMATH DE number 4082882 |
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Monotone iteration descretization algorithm for BVP's (English)
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1989
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This paper deals with the following weakly nonlinear boundary value problem \(-u''+g(x,u(x))=0,\) \(u(a)=u(b)=0.\) By means of available estimations lower and upper solutions are generated. Authors replace the optimization by implementable estimations and propose a monotone iteration technique for the finite-dimensional problem in such a way that enclosures are obtained in each iteration step of the method. Finally, numerical realizations are given using interval arithmetic.
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weakly nonlinear
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lower and upper solutions
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monotone iteration
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interval arithmetic
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