Отправить статью по E-mail Weight Estimates of the Accuracy of Difference Schemes for the Sturm–Liouville Problem
- Авторы: Makarov V.1, Gural’ M.2, Kutniv M.3,2
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Учреждения:
- Institute of Mathematics, Ukrainian National Academy of Sciences
- “L’vivs’ka Politekhnika” National University
- Rzeszow University of Technology
- Выпуск: Том 222, № 1 (2017)
- Страницы: 1-25
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239141
- DOI: https://doi.org/10.1007/s10958-017-3278-7
- ID: 239141
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Аннотация
It is shown that the rate of convergence of difference schemes used for the solution of the Sturm–Liouville problem for linear ordinary differential equations is higher in the immediate vicinity of the boundary. Moreover, we obtain the a priori estimates of accuracy that can be regarded as a quantitative confirmation of this effect. The results of numerical experiments corroborating this effect are also presented.
Об авторах
V. Makarov
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Украина, Kyiv
M. Gural’
“L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Украина, Lviv
M. Kutniv
Rzeszow University of Technology; “L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Польша, Rzeszow; Lviv
