Exponentially fitted explicit hybrid method for solving special second order initial value problems
The aim of the research is to improve the existing Hybrid method, so that it is more efficient in solving special second order ordinary differential equations of the form y” = f(x, y),y(x0) = y0,y′(x0) = y′0 which has solutions which are periodic or oscillating. Based on the existing Hybrid method d...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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American Institute of Physics
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57266/ http://psasir.upm.edu.my/id/eprint/57266/1/Exponentially%20fitted%20explicit%20hybrid%20method%20for%20solving%20special%20second%20order%20initial%20value%20problems.pdf |
| _version_ | 1848853317631868928 |
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| author | Ismail, Fudziah Samat, Faieza Suleiman, Mohamed Md. Arifin, Norihan |
| author_facet | Ismail, Fudziah Samat, Faieza Suleiman, Mohamed Md. Arifin, Norihan |
| author_sort | Ismail, Fudziah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The aim of the research is to improve the existing Hybrid method, so that it is more efficient in solving special second order ordinary differential equations of the form y” = f(x, y),y(x0) = y0,y′(x0) = y′0 which has solutions which are periodic or oscillating. Based on the existing Hybrid method derived by Chawla we constructed the exponentially fitted hybrid method using the technique introduced by Simos and Vigo‐Aguiar, resulting in an exponentially fitted hybrid method. The method can be used to solve special second order ordinary differential equations which have oscillating solutions. Numerical experiments based on the exponentially fitted hybrid method and the non exponentially fitted method are tabulated and compared in terms of accuracy, which clearly shown that the exponentially fitted method is more accurate. |
| first_indexed | 2025-11-15T10:52:03Z |
| format | Conference or Workshop Item |
| id | upm-57266 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:03Z |
| publishDate | 2010 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-572662017-09-26T03:48:23Z http://psasir.upm.edu.my/id/eprint/57266/ Exponentially fitted explicit hybrid method for solving special second order initial value problems Ismail, Fudziah Samat, Faieza Suleiman, Mohamed Md. Arifin, Norihan The aim of the research is to improve the existing Hybrid method, so that it is more efficient in solving special second order ordinary differential equations of the form y” = f(x, y),y(x0) = y0,y′(x0) = y′0 which has solutions which are periodic or oscillating. Based on the existing Hybrid method derived by Chawla we constructed the exponentially fitted hybrid method using the technique introduced by Simos and Vigo‐Aguiar, resulting in an exponentially fitted hybrid method. The method can be used to solve special second order ordinary differential equations which have oscillating solutions. Numerical experiments based on the exponentially fitted hybrid method and the non exponentially fitted method are tabulated and compared in terms of accuracy, which clearly shown that the exponentially fitted method is more accurate. American Institute of Physics 2010 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57266/1/Exponentially%20fitted%20explicit%20hybrid%20method%20for%20solving%20special%20second%20order%20initial%20value%20problems.pdf Ismail, Fudziah and Samat, Faieza and Suleiman, Mohamed and Md. Arifin, Norihan (2010) Exponentially fitted explicit hybrid method for solving special second order initial value problems. In: International Conference on Mathematical Science (ICMS), 23-27 Nov. 2010, Bolu, Turkey. (pp. 467-473). 10.1063/1.3525148 |
| spellingShingle | Ismail, Fudziah Samat, Faieza Suleiman, Mohamed Md. Arifin, Norihan Exponentially fitted explicit hybrid method for solving special second order initial value problems |
| title | Exponentially fitted explicit hybrid method for solving special second order initial value problems |
| title_full | Exponentially fitted explicit hybrid method for solving special second order initial value problems |
| title_fullStr | Exponentially fitted explicit hybrid method for solving special second order initial value problems |
| title_full_unstemmed | Exponentially fitted explicit hybrid method for solving special second order initial value problems |
| title_short | Exponentially fitted explicit hybrid method for solving special second order initial value problems |
| title_sort | exponentially fitted explicit hybrid method for solving special second order initial value problems |
| url | http://psasir.upm.edu.my/id/eprint/57266/ http://psasir.upm.edu.my/id/eprint/57266/ http://psasir.upm.edu.my/id/eprint/57266/1/Exponentially%20fitted%20explicit%20hybrid%20method%20for%20solving%20special%20second%20order%20initial%20value%20problems.pdf |