Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions
Using a special psi-function the paper presents an exact and approximate (with an error evaluation) solutions of the mixed problem pertaining to one-dimensional heat conduction equation. An advantage of the obtained approximate formula is its comparative simplicity and absence of quadratures.
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| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
| Published: |
Belarusian National Technical University
2009-02-01
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| Series: | Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| Online Access: | https://energy.bntu.by/jour/article/view/753 |
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| _version_ | 1832557272953257984 |
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| author | P. G. Lasy I. N. Meleshko |
| author_facet | P. G. Lasy I. N. Meleshko |
| author_sort | P. G. Lasy |
| collection | DOAJ |
| description | Using a special psi-function the paper presents an exact and approximate (with an error evaluation) solutions of the mixed problem pertaining to one-dimensional heat conduction equation. An advantage of the obtained approximate formula is its comparative simplicity and absence of quadratures. |
| format | Article |
| id | doaj-art-ef3b6c343d604de2ada1edd8983a408a |
| institution | Kabale University |
| issn | 1029-7448 2414-0341 |
| language | Russian |
| publishDate | 2009-02-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| spelling | doaj-art-ef3b6c343d604de2ada1edd8983a408a2025-02-03T05:35:46ZrusBelarusian National Technical UniversityИзвестия высших учебных заведений и энергетических объединенний СНГ: Энергетика1029-74482414-03412009-02-01015358746Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special FunctionsP. G. LasyI. N. MeleshkoUsing a special psi-function the paper presents an exact and approximate (with an error evaluation) solutions of the mixed problem pertaining to one-dimensional heat conduction equation. An advantage of the obtained approximate formula is its comparative simplicity and absence of quadratures.https://energy.bntu.by/jour/article/view/753 |
| spellingShingle | P. G. Lasy I. N. Meleshko Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика |
| title | Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions |
| title_full | Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions |
| title_fullStr | Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions |
| title_full_unstemmed | Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions |
| title_short | Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions |
| title_sort | approximate representation of one mixed problem solution pertaining to heat conduction theory using special functions |
| url | https://energy.bntu.by/jour/article/view/753 |
| work_keys_str_mv | AT pglasy approximaterepresentationofonemixedproblemsolutionpertainingtoheatconductiontheoryusingspecialfunctions AT inmeleshko approximaterepresentationofonemixedproblemsolutionpertainingtoheatconductiontheoryusingspecialfunctions |