Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs
A diagonally implicit Runge-Kutta-Nystrom General (SDIRKNG) method of fifth order with an explicit first stage for the integration of second-order IVPs is presented. A standard set of test problems are tested upon and the numerical results are compared when the same set of test problems are reduced...
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| Format: | Article |
| Language: | English |
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World Scientific and Engineering Academy and Society
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/14076/1/Digonally%20implicit%20Runge.pdf |
| _version_ | 1825945359036186624 |
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| author | Ismail, Fudziah |
| author_facet | Ismail, Fudziah |
| author_sort | Ismail, Fudziah |
| collection | UPM |
| description | A diagonally implicit Runge-Kutta-Nystrom General (SDIRKNG) method of fifth order with an explicit first stage for the integration of second-order IVPs is presented. A standard set of test problems are tested upon and the numerical results are compared when the same set of test problems are reduced to first-order system and solved using existing fifth order singly diagonally implicit Runge-Kutta method. The time taken to solve each problem over all the stepsizes are also compared. The results suggest the superiority of the new method. |
| first_indexed | 2024-03-06T07:30:15Z |
| format | Article |
| id | upm.eprints-14076 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T07:30:15Z |
| publishDate | 2010 |
| publisher | World Scientific and Engineering Academy and Society |
| record_format | dspace |
| spelling | upm.eprints-140762015-09-28T01:53:48Z http://psasir.upm.edu.my/id/eprint/14076/ Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs Ismail, Fudziah A diagonally implicit Runge-Kutta-Nystrom General (SDIRKNG) method of fifth order with an explicit first stage for the integration of second-order IVPs is presented. A standard set of test problems are tested upon and the numerical results are compared when the same set of test problems are reduced to first-order system and solved using existing fifth order singly diagonally implicit Runge-Kutta method. The time taken to solve each problem over all the stepsizes are also compared. The results suggest the superiority of the new method. World Scientific and Engineering Academy and Society 2010-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/14076/1/Digonally%20implicit%20Runge.pdf Ismail, Fudziah (2010) Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs. WSEAS Transactions on Mathematics, 9 (7). pp. 550-560. ISSN 1109-2769; ESSN: 2224-2880 |
| spellingShingle | Ismail, Fudziah Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs |
| title | Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs |
| title_full | Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs |
| title_fullStr | Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs |
| title_full_unstemmed | Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs |
| title_short | Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs |
| title_sort | digonally implicit runge kutta nystrom general method order five for solving second order ivps |
| url | http://psasir.upm.edu.my/id/eprint/14076/1/Digonally%20implicit%20Runge.pdf |
| work_keys_str_mv | AT ismailfudziah digonallyimplicitrungekuttanystromgeneralmethodorderfiveforsolvingsecondorderivps |