Optimal quadratic and cubic spline collocation on nonuniform partitions (Q817036)
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scientific article; zbMATH DE number 5009647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal quadratic and cubic spline collocation on nonuniform partitions |
scientific article; zbMATH DE number 5009647 |
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Optimal quadratic and cubic spline collocation on nonuniform partitions (English)
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2 March 2006
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The paper deals with optimal quadratic and cubic spline collocation methods for solving on nonuniform partitions the following linear two-point boundary value problem \[ ru^{\prime\prime}+pu^\prime+qu = g \quad \text{in} \;(0,1), \] \[ \alpha_0u(0) + \beta_0u^\prime(0) = \gamma_0, \;\alpha_1u(1) + \beta_1u^\prime(1) = \gamma_1, \] where \(r,p,q,g\) are given functions of \(x\).
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spline collocation
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second-order two-point boundary value problem
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error bounds
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optimal order of convergence
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spline interpolation
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