Correction method and extrapolation method for singular two-point boundary value problems (Q5928288)
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scientific article; zbMATH DE number 1582359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Correction method and extrapolation method for singular two-point boundary value problems |
scientific article; zbMATH DE number 1582359 |
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Correction method and extrapolation method for singular two-point boundary value problems (English)
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1 November 2001
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correction method
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extrapolation method
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singular two-point boundary value problem
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finite-difference approximation
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spline approximation
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The paper deals with the singular two-point boundary value problem NEWLINE\[NEWLINEx^{-\alpha}(x^\alpha u')'=f(x,u),\quad 0<x<1,\tag{1}NEWLINE\]NEWLINE NEWLINE\[NEWLINEu'(0^+)=0,\quad u(1)=A.\tag{2}NEWLINE\]NEWLINE The authors study the construction of three-point finite-difference approximation and spline approximation for (1), (2) with \(\alpha \geq 1\).
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