Uniformly valid polynomial representations for boundary-layer problems (Q1015984)
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scientific article; zbMATH DE number 5550435
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniformly valid polynomial representations for boundary-layer problems |
scientific article; zbMATH DE number 5550435 |
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Uniformly valid polynomial representations for boundary-layer problems (English)
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4 May 2009
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The paper discusses global Hermite interpolation, i.e. two point analogue of the Taylor polynomials applied to the two point boundary value problem defined by \[ \varepsilon y'' + a(t,\varepsilon)y' + b(t,y,\varepsilon) = 0;\qquad y(0) = \alpha,\quad y(1)=\beta; \quad \varepsilon>0. \] Numerical estimates and results are included.
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Hermite interpolation
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boundary value problem
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asymptotics
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singular perturbation
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