Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs
A third-order three-stage explicit Two-step Runge-Kutta-Nystr ̈om (TSRKN) method embedded into fourth-order three-stage TSRKN method is developed to solve special second-order initial value problems (IVPs) directly. The stability of the method is investigated. Numerical re-sults are obtained by solv...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | en |
| Published: |
Hikari
2014
|
| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/5761/1/AJ%202017%20%28911%29.pdf http://eprints.uthm.edu.my/5761/ http://dx.doi.org/10.12988/ams.2014.46403 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1833417930961846272 |
|---|---|
| author | Ariffin, L. M. Senu, N. Suleiman, M. Majid, Z.A. |
| author_facet | Ariffin, L. M. Senu, N. Suleiman, M. Majid, Z.A. |
| author_sort | Ariffin, L. M. |
| building | UTHM Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | A third-order three-stage explicit Two-step Runge-Kutta-Nystr ̈om (TSRKN) method embedded into fourth-order three-stage TSRKN method is developed to solve special second-order initial value problems (IVPs) directly. The stability of the method is investigated. Numerical re-sults are obtained by solving a standard set of test problems, which then reduced to first-order system when solved using Runge-Kutta (RK) method and comparison are made with existing RK method with same order using variable step-size. The results clearly showed the advantage and the efficiency of the new method. |
| format | Article |
| id | my.uthm.eprints-5761 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2014 |
| publisher | Hikari |
| record_format | eprints |
| spelling | my.uthm.eprints-57612022-01-23T04:26:49Z http://eprints.uthm.edu.my/5761/ Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs Ariffin, L. M. Senu, N. Suleiman, M. Majid, Z.A. T Technology (General) A third-order three-stage explicit Two-step Runge-Kutta-Nystr ̈om (TSRKN) method embedded into fourth-order three-stage TSRKN method is developed to solve special second-order initial value problems (IVPs) directly. The stability of the method is investigated. Numerical re-sults are obtained by solving a standard set of test problems, which then reduced to first-order system when solved using Runge-Kutta (RK) method and comparison are made with existing RK method with same order using variable step-size. The results clearly showed the advantage and the efficiency of the new method. Hikari 2014 Article PeerReviewed text en http://eprints.uthm.edu.my/5761/1/AJ%202017%20%28911%29.pdf Ariffin, L. M. and Senu, N. and Suleiman, M. and Majid, Z.A. (2014) Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs. Applied Mathematical Sciences, 8 (94). pp. 4655-4673. ISSN 1312-885X http://dx.doi.org/10.12988/ams.2014.46403 |
| spellingShingle | T Technology (General) Ariffin, L. M. Senu, N. Suleiman, M. Majid, Z.A. Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs |
| title | Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs |
| title_full | Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs |
| title_fullStr | Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs |
| title_full_unstemmed | Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs |
| title_short | Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs |
| title_sort | embedded explicit two-step runge-kutta-nystrom for solving special second-order ivps |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/5761/1/AJ%202017%20%28911%29.pdf http://eprints.uthm.edu.my/5761/ http://dx.doi.org/10.12988/ams.2014.46403 |
| url_provider | http://eprints.uthm.edu.my/ |