Weighted estimates of accuracy of difference schemes for Sturm-Liouville problem (Q2812858)
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scientific article; zbMATH DE number 6593000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted estimates of accuracy of difference schemes for Sturm-Liouville problem |
scientific article; zbMATH DE number 6593000 |
Statements
13 June 2016
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second order equations
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difference Sturm-Liouville problem
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accuracy estimation
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convergence
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difference schemes
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numerical experiments
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Weighted estimates of accuracy of difference schemes for Sturm-Liouville problem (English)
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In the paper it is established that the rate of convergence of difference schemes for solution of the Sturm-Liouville problem for linear ordinary differential equations is higher in the immediate vicinity of the boundary. Also, a priori estimates of accuracy are obtained which determine quantitatively the above mentioned effect. Results of numerical experiments are presented to verify the effect established.
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