A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation
In this paper, Adomian decomposition method is applied to approximate the solution of two-dimensional Schrödinger equation. Also, the convergence proof of the Adomian decomposition method is presented. The method was compared with other methods in the aspects of convergence and accuracy. The result...
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| Format: | Article |
| Language: | English |
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University of Thi-Qar
2019-05-01
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| Series: | مجلة علوم ذي قار |
| Subjects: | |
| Online Access: | https://jsci.utq.edu.iq/index.php/main/article/view/402 |
| _version_ | 1797628658849939456 |
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| author | A. AL-Saif |
| author_facet | A. AL-Saif |
| author_sort | A. AL-Saif |
| collection | DOAJ |
| description |
In this paper, Adomian decomposition method is applied to approximate the solution of
two-dimensional Schrödinger equation. Also, the convergence proof of the Adomian
decomposition method is presented. The method was compared with other methods in the
aspects of convergence and accuracy. The results show that the Adomian decomposition
method is more accurate, and has better convergence than the other methods in literature,
and CPU times needed for this problem are reported.
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| first_indexed | 2024-03-11T10:43:03Z |
| format | Article |
| id | doaj.art-9b4bfb7a6efa4c719c9ad197ec2d3e6d |
| institution | Directory Open Access Journal |
| issn | 1991-8690 2709-0256 |
| language | English |
| last_indexed | 2024-03-11T10:43:03Z |
| publishDate | 2019-05-01 |
| publisher | University of Thi-Qar |
| record_format | Article |
| series | مجلة علوم ذي قار |
| spelling | doaj.art-9b4bfb7a6efa4c719c9ad197ec2d3e6d2023-11-14T08:11:04ZengUniversity of Thi-Qarمجلة علوم ذي قار1991-86902709-02562019-05-0121A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation A. AL-Saif In this paper, Adomian decomposition method is applied to approximate the solution of two-dimensional Schrödinger equation. Also, the convergence proof of the Adomian decomposition method is presented. The method was compared with other methods in the aspects of convergence and accuracy. The results show that the Adomian decomposition method is more accurate, and has better convergence than the other methods in literature, and CPU times needed for this problem are reported. https://jsci.utq.edu.iq/index.php/main/article/view/402Adomian decomposition method, Schrödinger equation |
| spellingShingle | A. AL-Saif A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation مجلة علوم ذي قار Adomian decomposition method, Schrödinger equation |
| title | A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation |
| title_full | A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation |
| title_fullStr | A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation |
| title_full_unstemmed | A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation |
| title_short | A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation |
| title_sort | a s j al saif adomian decomposition method for solving two dimensional schrodinger equation |
| topic | Adomian decomposition method, Schrödinger equation |
| url | https://jsci.utq.edu.iq/index.php/main/article/view/402 |
| work_keys_str_mv | AT aalsaif asjalsaifadomiandecompositionmethodforsolvingtwodimensionalschrodingerequation |