Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
Improvements over embedded diagonally implicit Runge-Kutta pair of order four in five are presented. Method of higher stage order with a zero first row and the last row of the coefficient matrix is identical to the vector output is given. The stability aspect of it is also looked into and a standard...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2010
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| Online Access: | http://journalarticle.ukm.my/7452/1/26_Ayiesah.pdf |
| _version_ | 1796930550952361984 |
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| author | Fudziah Ismail, Raed Ali Al-Khasawneh, Mohamed Suleiman, Malik Abu Hassan, |
| author_facet | Fudziah Ismail, Raed Ali Al-Khasawneh, Mohamed Suleiman, Malik Abu Hassan, |
| author_sort | Fudziah Ismail, |
| collection | UKM |
| description | Improvements over embedded diagonally implicit Runge-Kutta pair of order four in five are presented. Method of higher stage order with a zero first row and the last row of the coefficient matrix is identical to the vector output is given. The stability aspect of it is also looked into and a standard test problems are solved using the method. Numerical results are tabulated and compared with the existing method. |
| first_indexed | 2024-03-06T04:04:43Z |
| format | Article |
| id | ukm.eprints-7452 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:04:43Z |
| publishDate | 2010 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-74522016-12-14T06:44:08Z http://journalarticle.ukm.my/7452/ Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations Fudziah Ismail, Raed Ali Al-Khasawneh, Mohamed Suleiman, Malik Abu Hassan, Improvements over embedded diagonally implicit Runge-Kutta pair of order four in five are presented. Method of higher stage order with a zero first row and the last row of the coefficient matrix is identical to the vector output is given. The stability aspect of it is also looked into and a standard test problems are solved using the method. Numerical results are tabulated and compared with the existing method. Universiti Kebangsaan Malaysia 2010-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/7452/1/26_Ayiesah.pdf Fudziah Ismail, and Raed Ali Al-Khasawneh, and Mohamed Suleiman, and Malik Abu Hassan, (2010) Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations. Sains Malaysiana, 39 (6). pp. 1049-1054. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol39num6_2010/contentsVol39num6_2010.html |
| spellingShingle | Fudziah Ismail, Raed Ali Al-Khasawneh, Mohamed Suleiman, Malik Abu Hassan, Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations |
| title | Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations |
| title_full | Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations |
| title_fullStr | Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations |
| title_full_unstemmed | Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations |
| title_short | Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations |
| title_sort | embedded pair of diagonally implicit runge kutta method for solving ordinary differential equations |
| url | http://journalarticle.ukm.my/7452/1/26_Ayiesah.pdf |
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