Partitioning ordinary differential equations using Runge-Kutta methods
Two techniques for detecting stiffness when using Runge-Kutta type of methods are discussed and compared, and a partitioning strategy for first-order system of equations into stiff and nonstiff subsystems is proposed. A few problems are solved using three-stage semi-implicit Runge-Kutta method. Newt...
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| Format: | Article |
| Language: | English English |
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Elsevier
1996
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| Online Access: | http://psasir.upm.edu.my/id/eprint/41072/1/Partitioning%20ordinary%20differential%20equations%20using%20Runge-Kutta%20methods.pdf http://psasir.upm.edu.my/id/eprint/41072/7/1-s2.0-0096300395002472-main.pdf |
| _version_ | 1811137445471715328 |
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| author | Suleiman, Mohamed Ismail, Fudziah Mohd Atan, Kamel Ariffin |
| author_facet | Suleiman, Mohamed Ismail, Fudziah Mohd Atan, Kamel Ariffin |
| author_sort | Suleiman, Mohamed |
| collection | UPM |
| description | Two techniques for detecting stiffness when using Runge-Kutta type of methods are discussed and compared, and a partitioning strategy for first-order system of equations into stiff and nonstiff subsystems is proposed. A few problems are solved using three-stage semi-implicit Runge-Kutta method. Newton iteration is used for the stiff part and simple iteration for the nonstiff. Finally, numerical results based on different criteria to detect stiffness are compared. |
| first_indexed | 2024-03-06T08:48:50Z |
| format | Article |
| id | upm.eprints-41072 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-09-25T03:34:25Z |
| publishDate | 1996 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | upm.eprints-410722024-08-08T04:10:10Z http://psasir.upm.edu.my/id/eprint/41072/ Partitioning ordinary differential equations using Runge-Kutta methods Suleiman, Mohamed Ismail, Fudziah Mohd Atan, Kamel Ariffin Two techniques for detecting stiffness when using Runge-Kutta type of methods are discussed and compared, and a partitioning strategy for first-order system of equations into stiff and nonstiff subsystems is proposed. A few problems are solved using three-stage semi-implicit Runge-Kutta method. Newton iteration is used for the stiff part and simple iteration for the nonstiff. Finally, numerical results based on different criteria to detect stiffness are compared. Elsevier 1996-10 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/41072/1/Partitioning%20ordinary%20differential%20equations%20using%20Runge-Kutta%20methods.pdf text en http://psasir.upm.edu.my/id/eprint/41072/7/1-s2.0-0096300395002472-main.pdf Suleiman, Mohamed and Ismail, Fudziah and Mohd Atan, Kamel Ariffin (1996) Partitioning ordinary differential equations using Runge-Kutta methods. Applied Mathematics and Computation, 79 (2-3). pp. 289-309. ISSN 0096-3003 http://www.sciencedirect.com/science/article/pii/0096300395002472 10.1016/0096-3003(95)00247-2 |
| spellingShingle | Suleiman, Mohamed Ismail, Fudziah Mohd Atan, Kamel Ariffin Partitioning ordinary differential equations using Runge-Kutta methods |
| title | Partitioning ordinary differential equations using Runge-Kutta methods |
| title_full | Partitioning ordinary differential equations using Runge-Kutta methods |
| title_fullStr | Partitioning ordinary differential equations using Runge-Kutta methods |
| title_full_unstemmed | Partitioning ordinary differential equations using Runge-Kutta methods |
| title_short | Partitioning ordinary differential equations using Runge-Kutta methods |
| title_sort | partitioning ordinary differential equations using runge kutta methods |
| url | http://psasir.upm.edu.my/id/eprint/41072/1/Partitioning%20ordinary%20differential%20equations%20using%20Runge-Kutta%20methods.pdf http://psasir.upm.edu.my/id/eprint/41072/7/1-s2.0-0096300395002472-main.pdf |
| work_keys_str_mv | AT suleimanmohamed partitioningordinarydifferentialequationsusingrungekuttamethods AT ismailfudziah partitioningordinarydifferentialequationsusingrungekuttamethods AT mohdatankamelariffin partitioningordinarydifferentialequationsusingrungekuttamethods |