Solving Bi-harmonic Cauchy problem using a meshless collocation method
In this article a fourth order differential boundary value problem is solved using a mesh less collocation method. The efficiency of the proposed methods is illustrated by solving problems with some examples of a polynomial and Non polynomial exact solutions and by using Conjugate gradient method a...
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| Format: | Article |
| Language: | English |
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College of science, university of Diyala
2024-01-01
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| Series: | Academic Science Journal |
| Online Access: | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/315 |
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| _version_ | 1849221168621420544 |
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| author | Baydaa Khaleel Mostafa Duaa Jasim Athraa Falih Hasan Ibtihal Thabit Jameel Fatima M. ABOUD |
| author_facet | Baydaa Khaleel Mostafa Duaa Jasim Athraa Falih Hasan Ibtihal Thabit Jameel Fatima M. ABOUD |
| author_sort | Baydaa Khaleel Mostafa |
| collection | DOAJ |
| description |
In this article a fourth order differential boundary value problem is solved using a mesh less collocation method. The efficiency of the proposed methods is illustrated by solving problems with some examples of a polynomial and Non polynomial exact solutions and by using Conjugate gradient method and Conjugate gradient Least square algorithms and the numerical stability is verified by using a noise for the input boundary data.
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| format | Article |
| id | doaj-art-04493d7dcf784801ac5104a3c8a7a86e |
| institution | Kabale University |
| issn | 2958-4612 2959-5568 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | College of science, university of Diyala |
| record_format | Article |
| series | Academic Science Journal |
| spelling | doaj-art-04493d7dcf784801ac5104a3c8a7a86e2024-11-19T10:00:23ZengCollege of science, university of DiyalaAcademic Science Journal2958-46122959-55682024-01-012110.24237/ASJ.02.01.694ESolving Bi-harmonic Cauchy problem using a meshless collocation methodBaydaa Khaleel MostafaDuaa Jasim Athraa Falih Hasan Ibtihal Thabit JameelFatima M. ABOUD In this article a fourth order differential boundary value problem is solved using a mesh less collocation method. The efficiency of the proposed methods is illustrated by solving problems with some examples of a polynomial and Non polynomial exact solutions and by using Conjugate gradient method and Conjugate gradient Least square algorithms and the numerical stability is verified by using a noise for the input boundary data. https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/315 |
| spellingShingle | Baydaa Khaleel Mostafa Duaa Jasim Athraa Falih Hasan Ibtihal Thabit Jameel Fatima M. ABOUD Solving Bi-harmonic Cauchy problem using a meshless collocation method Academic Science Journal |
| title | Solving Bi-harmonic Cauchy problem using a meshless collocation method |
| title_full | Solving Bi-harmonic Cauchy problem using a meshless collocation method |
| title_fullStr | Solving Bi-harmonic Cauchy problem using a meshless collocation method |
| title_full_unstemmed | Solving Bi-harmonic Cauchy problem using a meshless collocation method |
| title_short | Solving Bi-harmonic Cauchy problem using a meshless collocation method |
| title_sort | solving bi harmonic cauchy problem using a meshless collocation method |
| url | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/315 |
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