Application of identical transformations in Cauchy problem solving
A polynomial method of Cauchy problem solving is presented. The method allows constructing a fundamental solution in locally analytical form for any type of function of the right part of the equation for normal form of differential equation. A test for well-known functions both for lower and higher...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
MIREA - Russian Technological University
2009-06-01
|
| Series: | Тонкие химические технологии |
| Subjects: | |
| Online Access: | https://www.finechem-mirea.ru/jour/article/view/1395 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850027855000371200 |
|---|---|
| author | A. A. Gorshkov E. A. Korovaytseva |
| author_facet | A. A. Gorshkov E. A. Korovaytseva |
| author_sort | A. A. Gorshkov |
| collection | DOAJ |
| description | A polynomial method of Cauchy problem solving is presented. The method allows constructing a fundamental solution in locally analytical form for any type of function of the right part of the equation for normal form of differential equation. A test for well-known functions both for lower and higher among possible orders of polynomial method of solving is carried out. The expediency of using the method of higher order is determined. |
| format | Article |
| id | doaj-art-935093586fd744c1bddff8bfa4032a5d |
| institution | DOAJ |
| issn | 2410-6593 2686-7575 |
| language | Russian |
| publishDate | 2009-06-01 |
| publisher | MIREA - Russian Technological University |
| record_format | Article |
| series | Тонкие химические технологии |
| spelling | doaj-art-935093586fd744c1bddff8bfa4032a5d2025-08-20T03:00:00ZrusMIREA - Russian Technological UniversityТонкие химические технологии2410-65932686-75752009-06-014322261390Application of identical transformations in Cauchy problem solvingA. A. Gorshkov0E. A. Korovaytseva1M.V. Lomonosov Moscow State University of Fine Chemical Technologies, 86, Vernadskogo pr., Moscow 119571M.V. Lomonosov Moscow State University of Fine Chemical Technologies, 86, Vernadskogo pr., Moscow 119571A polynomial method of Cauchy problem solving is presented. The method allows constructing a fundamental solution in locally analytical form for any type of function of the right part of the equation for normal form of differential equation. A test for well-known functions both for lower and higher among possible orders of polynomial method of solving is carried out. The expediency of using the method of higher order is determined.https://www.finechem-mirea.ru/jour/article/view/1395задача коши, тождественные преобразования, решетчатые функции, полиномиальный метод, локально аналитическое решение, тестирование, сравнение возможностей методов. |
| spellingShingle | A. A. Gorshkov E. A. Korovaytseva Application of identical transformations in Cauchy problem solving Тонкие химические технологии задача коши, тождественные преобразования, решетчатые функции, полиномиальный метод, локально аналитическое решение, тестирование, сравнение возможностей методов. |
| title | Application of identical transformations in Cauchy problem solving |
| title_full | Application of identical transformations in Cauchy problem solving |
| title_fullStr | Application of identical transformations in Cauchy problem solving |
| title_full_unstemmed | Application of identical transformations in Cauchy problem solving |
| title_short | Application of identical transformations in Cauchy problem solving |
| title_sort | application of identical transformations in cauchy problem solving |
| topic | задача коши, тождественные преобразования, решетчатые функции, полиномиальный метод, локально аналитическое решение, тестирование, сравнение возможностей методов. |
| url | https://www.finechem-mirea.ru/jour/article/view/1395 |
| work_keys_str_mv | AT aagorshkov applicationofidenticaltransformationsincauchyproblemsolving AT eakorovaytseva applicationofidenticaltransformationsincauchyproblemsolving |