Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series
The modified grid method for solving value boundary problems for the linear differential equations based on Taylor development is described. It was demonstrated that the accuracy of the proposed method is much greater than that of a classical grids method. The results of numerical experiments are qu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2008-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu646 |
| _version_ | 1819033309274963968 |
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| author | A. A. Usov V. P. Radchenko |
| author_facet | A. A. Usov V. P. Radchenko |
| author_sort | A. A. Usov |
| collection | DOAJ |
| description | The modified grid method for solving value boundary problems for the linear differential equations based on Taylor development is described. It was demonstrated that the accuracy of the proposed method is much greater than that of a classical grids method. The results of numerical experiments are quoted. |
| first_indexed | 2024-12-21T07:15:47Z |
| format | Article |
| id | doaj.art-822c56da6e3b4e5eabd6a468b9642e7f |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-21T07:15:47Z |
| publishDate | 2008-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-822c56da6e3b4e5eabd6a468b9642e7f2022-12-21T19:11:52ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812008-06-012(17)606510.14498/vsgtu646Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor seriesA. A. UsovV. P. RadchenkoThe modified grid method for solving value boundary problems for the linear differential equations based on Taylor development is described. It was demonstrated that the accuracy of the proposed method is much greater than that of a classical grids method. The results of numerical experiments are quoted.http://mi.mathnet.ru/eng/vsgtu646 |
| spellingShingle | A. A. Usov V. P. Radchenko Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series |
| title_full | Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series |
| title_fullStr | Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series |
| title_full_unstemmed | Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series |
| title_short | Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series |
| title_sort | modified grid method for solving linear differential equation equipped with variable coefficients based on taylor series |
| url | http://mi.mathnet.ru/eng/vsgtu646 |
| work_keys_str_mv | AT aausov modifiedgridmethodforsolvinglineardifferentialequationequippedwithvariablecoefficientsbasedontaylorseries AT vpradchenko modifiedgridmethodforsolvinglineardifferentialequationequippedwithvariablecoefficientsbasedontaylorseries |