Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation
In this study, a heat conduction in fin-related inverse problem for the modified Helmholtz equation is taken into consideration. The purpose of this study is to estimate the temperature on an under-specified boundary (a part of the outer border of a given domain) by using the Cauchy data, on a port...
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| Format: | Article |
| Language: | English |
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College of science, university of Diyala
2025-01-01
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| Series: | Academic Science Journal |
| Online Access: | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/135 |
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| author | shaimaa aamer Fatima M. Aboud |
| author_facet | shaimaa aamer Fatima M. Aboud |
| author_sort | shaimaa aamer |
| collection | DOAJ |
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In this study, a heat conduction in fin-related inverse problem for the modified Helmholtz equation is taken into consideration. The purpose of this study is to estimate the temperature on an under-specified boundary (a part of the outer border of a given domain) by using the Cauchy data, on a portion of the boundary that is accessible (boundary temperature and heat flux). The suggested meshless approach is used to numerically solve this problem. By injecting a noise to the Cauchy data, the stability is verified.
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| format | Article |
| id | doaj-art-d7b1be14638f4bf293cc684d8cd7f03a |
| institution | Kabale University |
| issn | 2958-4612 2959-5568 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | College of science, university of Diyala |
| record_format | Article |
| series | Academic Science Journal |
| spelling | doaj-art-d7b1be14638f4bf293cc684d8cd7f03a2025-02-12T05:04:32ZengCollege of science, university of DiyalaAcademic Science Journal2958-46122959-55682025-01-013110.24237/ASJ.03.01.783BSolving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximationshaimaa aamer0Fatima M. Aboud1diyala universitydiyala university In this study, a heat conduction in fin-related inverse problem for the modified Helmholtz equation is taken into consideration. The purpose of this study is to estimate the temperature on an under-specified boundary (a part of the outer border of a given domain) by using the Cauchy data, on a portion of the boundary that is accessible (boundary temperature and heat flux). The suggested meshless approach is used to numerically solve this problem. By injecting a noise to the Cauchy data, the stability is verified. https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/135 |
| spellingShingle | shaimaa aamer Fatima M. Aboud Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation Academic Science Journal |
| title | Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation |
| title_full | Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation |
| title_fullStr | Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation |
| title_full_unstemmed | Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation |
| title_short | Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation |
| title_sort | solving an inverse cauchy problem for modified helmholtz equations depending on a polynomial expansion approximation |
| url | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/135 |
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