Modern methods of partial differential equations for engineering
In the paper we examine some problems for partial differential equations of engineering using the concepts of the theory of distributions. The paper is devoted to specify the modern methods of Partial Differential Equation (PDE) for engineering. Here we discus recently developed methods of the spect...
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/34053/ http://irep.iium.edu.my/34053/1/111_ICEE2013_Abdumalik_Rakhimov.pdf |
| _version_ | 1848780848944381952 |
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| author | Rakhimov, Abdumalik A. |
| author_facet | Rakhimov, Abdumalik A. |
| author_sort | Rakhimov, Abdumalik A. |
| building | IIUM Repository |
| collection | Online Access |
| description | In the paper we examine some problems for partial differential equations of engineering using the concepts of the theory of distributions. The paper is devoted to specify the modern methods of Partial Differential Equation (PDE) for engineering. Here we discus recently developed methods of the spectral theory of the partial differential equations in the spaces of distributions. In particular convergence and summability problems of the spectral expansions associated with the selfadjoint extensions of the elliptic partial differential operator studied in the spaces of distributions. In this we prove sharp conditions of localization and summability of the expansions of the distributions. |
| first_indexed | 2025-11-14T15:40:12Z |
| format | Proceeding Paper |
| id | iium-34053 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:40:12Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-340532014-02-21T03:22:21Z http://irep.iium.edu.my/34053/ Modern methods of partial differential equations for engineering Rakhimov, Abdumalik A. QA Mathematics In the paper we examine some problems for partial differential equations of engineering using the concepts of the theory of distributions. The paper is devoted to specify the modern methods of Partial Differential Equation (PDE) for engineering. Here we discus recently developed methods of the spectral theory of the partial differential equations in the spaces of distributions. In particular convergence and summability problems of the spectral expansions associated with the selfadjoint extensions of the elliptic partial differential operator studied in the spaces of distributions. In this we prove sharp conditions of localization and summability of the expansions of the distributions. 2013-12 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/34053/1/111_ICEE2013_Abdumalik_Rakhimov.pdf Rakhimov, Abdumalik A. (2013) Modern methods of partial differential equations for engineering. In: International Conference on Engineering Education 2013, 25-27 December 2013, Madinah, Saudi Arabia. http://www.icee.feiic.org/images/2013/111_ICEE2013_Abdumalik%20Rakhimov.pdf |
| spellingShingle | QA Mathematics Rakhimov, Abdumalik A. Modern methods of partial differential equations for engineering |
| title | Modern methods of partial differential equations
for engineering
|
| title_full | Modern methods of partial differential equations
for engineering
|
| title_fullStr | Modern methods of partial differential equations
for engineering
|
| title_full_unstemmed | Modern methods of partial differential equations
for engineering
|
| title_short | Modern methods of partial differential equations
for engineering
|
| title_sort | modern methods of partial differential equations
for engineering |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/34053/ http://irep.iium.edu.my/34053/ http://irep.iium.edu.my/34053/1/111_ICEE2013_Abdumalik_Rakhimov.pdf |