An iterative method to calculate the thermal characteristics of the rock mass with inaccurate initial data
The paper discusses the coefficient inverse problem for one-dimensional heat equation with inaccurate initial data. A conjugate difference problem is developed on difference level. The problem is solved by method of interval analysis. Condition of applicability of Thomas method and its computational...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2016-12-01
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| Series: | Open Engineering |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/eng.2016.6.issue-1/eng-2016-0089/eng-2016-0089.xml?format=INT |
| _version_ | 1818321929902227456 |
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| author | Rysbaiuly Bolatbek Yunicheva Nadiya Rysbayeva Nazerke |
| author_facet | Rysbaiuly Bolatbek Yunicheva Nadiya Rysbayeva Nazerke |
| author_sort | Rysbaiuly Bolatbek |
| collection | DOAJ |
| description | The paper discusses the coefficient inverse problem
for one-dimensional heat equation with inaccurate
initial data. A conjugate difference problem is developed
on difference level. The problem is solved by method of
interval analysis. Condition of applicability of Thomas
method and its computational convergence are obtained.
Estimates of the interval width of solutions of difference
problems and functions of Thomas method are also
gained. |
| first_indexed | 2024-12-13T10:48:43Z |
| format | Article |
| id | doaj.art-ce1fbb779137499380f035b6ba232b1d |
| institution | Directory Open Access Journal |
| issn | 2391-5439 |
| language | English |
| last_indexed | 2024-12-13T10:48:43Z |
| publishDate | 2016-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Engineering |
| spelling | doaj.art-ce1fbb779137499380f035b6ba232b1d2022-12-21T23:50:00ZengDe GruyterOpen Engineering2391-54392016-12-016110.1515/eng-2016-0089eng-2016-0089An iterative method to calculate the thermal characteristics of the rock mass with inaccurate initial dataRysbaiuly Bolatbek0Yunicheva Nadiya1Rysbayeva Nazerke2International University of Information Technologies, Almaty, KazakhstanInstitute of Information and Computational Technologies, Almaty, KazakhstanInstitute of Information and Computational Technologies, Almaty, KazakhstanThe paper discusses the coefficient inverse problem for one-dimensional heat equation with inaccurate initial data. A conjugate difference problem is developed on difference level. The problem is solved by method of interval analysis. Condition of applicability of Thomas method and its computational convergence are obtained. Estimates of the interval width of solutions of difference problems and functions of Thomas method are also gained.http://www.degruyter.com/view/j/eng.2016.6.issue-1/eng-2016-0089/eng-2016-0089.xml?format=INTinverse problem difference scheme inaccurate data estimation width of intervals convergence |
| spellingShingle | Rysbaiuly Bolatbek Yunicheva Nadiya Rysbayeva Nazerke An iterative method to calculate the thermal characteristics of the rock mass with inaccurate initial data Open Engineering inverse problem difference scheme inaccurate data estimation width of intervals convergence |
| title | An iterative method to calculate the thermal
characteristics of the rock mass with inaccurate
initial data |
| title_full | An iterative method to calculate the thermal
characteristics of the rock mass with inaccurate
initial data |
| title_fullStr | An iterative method to calculate the thermal
characteristics of the rock mass with inaccurate
initial data |
| title_full_unstemmed | An iterative method to calculate the thermal
characteristics of the rock mass with inaccurate
initial data |
| title_short | An iterative method to calculate the thermal
characteristics of the rock mass with inaccurate
initial data |
| title_sort | iterative method to calculate the thermal characteristics of the rock mass with inaccurate initial data |
| topic | inverse problem difference scheme inaccurate data estimation width of intervals convergence |
| url | http://www.degruyter.com/view/j/eng.2016.6.issue-1/eng-2016-0089/eng-2016-0089.xml?format=INT |
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