Solution of applied one-dimensional linear boundary-value problems with automatic precision
Possible basic types of applied one-dimensional linear boundary problems in problems of chemical kinetics, structures strength, aerohydroelasticity, and wave processes in continuous media are analyzed. A uniform definition of such problems based on three-parametrical formalization is formulated. Wit...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
MIREA - Russian Technological University
2012-12-01
|
| Series: | Тонкие химические технологии |
| Subjects: | |
| Online Access: | https://www.finechem-mirea.ru/jour/article/view/672 |
| _version_ | 1797882144393003008 |
|---|---|
| author | A. V. Korovaytsev E. A. Korovaytseva V. A. Lomovskoy |
| author_facet | A. V. Korovaytsev E. A. Korovaytseva V. A. Lomovskoy |
| author_sort | A. V. Korovaytsev |
| collection | DOAJ |
| description | Possible basic types of applied one-dimensional linear boundary problems in problems of chemical kinetics, structures strength, aerohydroelasticity, and wave processes in continuous media are analyzed. A uniform definition of such problems based on three-parametrical formalization is formulated. With arbitrary topology problems as an example an algorithm of boundary problems solution alternative to both discrete and differential methods is suggested. Testing the algorithm with Krylov functions as an example and the problem of describing the deformation of a shell of revolution in the vicinity of a singular point are given. |
| first_indexed | 2024-04-10T03:31:20Z |
| format | Article |
| id | doaj.art-de434800e9094dbd9e05a93518b2dec0 |
| institution | Directory Open Access Journal |
| issn | 2410-6593 2686-7575 |
| language | Russian |
| last_indexed | 2024-04-10T03:31:20Z |
| publishDate | 2012-12-01 |
| publisher | MIREA - Russian Technological University |
| record_format | Article |
| series | Тонкие химические технологии |
| spelling | doaj.art-de434800e9094dbd9e05a93518b2dec02023-03-13T07:25:33ZrusMIREA - Russian Technological UniversityТонкие химические технологии2410-65932686-75752012-12-01764145666Solution of applied one-dimensional linear boundary-value problems with automatic precisionA. V. Korovaytsev0E. A. Korovaytseva1V. A. Lomovskoy2Московский авиационный институт (национальный исследовательский университет)Московский государственный технический университет им. Н.Э. БауманаM.V. Lomonosov Moscow State University of Fine Chemical Technologies, 86, Vernadskogo pr., Moscow 119571Possible basic types of applied one-dimensional linear boundary problems in problems of chemical kinetics, structures strength, aerohydroelasticity, and wave processes in continuous media are analyzed. A uniform definition of such problems based on three-parametrical formalization is formulated. With arbitrary topology problems as an example an algorithm of boundary problems solution alternative to both discrete and differential methods is suggested. Testing the algorithm with Krylov functions as an example and the problem of describing the deformation of a shell of revolution in the vicinity of a singular point are given.https://www.finechem-mirea.ru/jour/article/view/672ethers, reactive distillation, combined processes, mathematical modeling, multiplicity of stationary states |
| spellingShingle | A. V. Korovaytsev E. A. Korovaytseva V. A. Lomovskoy Solution of applied one-dimensional linear boundary-value problems with automatic precision Тонкие химические технологии ethers, reactive distillation, combined processes, mathematical modeling, multiplicity of stationary states |
| title | Solution of applied one-dimensional linear boundary-value problems with automatic precision |
| title_full | Solution of applied one-dimensional linear boundary-value problems with automatic precision |
| title_fullStr | Solution of applied one-dimensional linear boundary-value problems with automatic precision |
| title_full_unstemmed | Solution of applied one-dimensional linear boundary-value problems with automatic precision |
| title_short | Solution of applied one-dimensional linear boundary-value problems with automatic precision |
| title_sort | solution of applied one dimensional linear boundary value problems with automatic precision |
| topic | ethers, reactive distillation, combined processes, mathematical modeling, multiplicity of stationary states |
| url | https://www.finechem-mirea.ru/jour/article/view/672 |
| work_keys_str_mv | AT avkorovaytsev solutionofappliedonedimensionallinearboundaryvalueproblemswithautomaticprecision AT eakorovaytseva solutionofappliedonedimensionallinearboundaryvalueproblemswithautomaticprecision AT valomovskoy solutionofappliedonedimensionallinearboundaryvalueproblemswithautomaticprecision |