A 4-point block method for solving higher order ordinary differential equations directly
An alternative block method for solving fifth-order initial value problems (IVPs) is proposed with an adaptive strategy of implementing variable step size. The derived method is designed to compute four solutions simultaneously without reducing the problem to a system of first-order IVPs. To validat...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/54804/ http://psasir.upm.edu.my/id/eprint/54804/1/A%204-Point%20Block%20Method%20for%20Solving%20Higher%20Order%20Ordinary%20Differential%20Equations%20Directly.pdf |
| _version_ | 1848852633864896512 |
|---|---|
| author | Waeleh, Nazreen Abdul Majid, Zanariah |
| author_facet | Waeleh, Nazreen Abdul Majid, Zanariah |
| author_sort | Waeleh, Nazreen |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | An alternative block method for solving fifth-order initial value problems (IVPs) is proposed with an adaptive strategy of implementing variable step size. The derived method is designed to compute four solutions simultaneously without reducing the problem to a system of first-order IVPs. To validate the proposed method, the consistency and zero stability are also discussed. The improved performance of the developed method is demonstrated by comparing it with the existing methods and the results showed that the 4-point block method is suitable for solving fifth-order IVPs. |
| first_indexed | 2025-11-15T10:41:11Z |
| format | Article |
| id | upm-54804 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:41:11Z |
| publishDate | 2016 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-548042018-04-04T05:01:43Z http://psasir.upm.edu.my/id/eprint/54804/ A 4-point block method for solving higher order ordinary differential equations directly Waeleh, Nazreen Abdul Majid, Zanariah An alternative block method for solving fifth-order initial value problems (IVPs) is proposed with an adaptive strategy of implementing variable step size. The derived method is designed to compute four solutions simultaneously without reducing the problem to a system of first-order IVPs. To validate the proposed method, the consistency and zero stability are also discussed. The improved performance of the developed method is demonstrated by comparing it with the existing methods and the results showed that the 4-point block method is suitable for solving fifth-order IVPs. Hindawi Publishing Corporation 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54804/1/A%204-Point%20Block%20Method%20for%20Solving%20Higher%20Order%20Ordinary%20Differential%20Equations%20Directly.pdf Waeleh, Nazreen and Abdul Majid, Zanariah (2016) A 4-point block method for solving higher order ordinary differential equations directly. International Journal of Mathematics and Mathematical Sciences. art. no. 9823147. pp. 1-8. ISSN 0161-1712; ESSN: 1687-0425 https://www.hindawi.com/journals/ijmms/2016/9823147/ref/ 10.1155/2016/9823147 |
| spellingShingle | Waeleh, Nazreen Abdul Majid, Zanariah A 4-point block method for solving higher order ordinary differential equations directly |
| title | A 4-point block method for solving higher order ordinary differential equations directly |
| title_full | A 4-point block method for solving higher order ordinary differential equations directly |
| title_fullStr | A 4-point block method for solving higher order ordinary differential equations directly |
| title_full_unstemmed | A 4-point block method for solving higher order ordinary differential equations directly |
| title_short | A 4-point block method for solving higher order ordinary differential equations directly |
| title_sort | 4-point block method for solving higher order ordinary differential equations directly |
| url | http://psasir.upm.edu.my/id/eprint/54804/ http://psasir.upm.edu.my/id/eprint/54804/ http://psasir.upm.edu.my/id/eprint/54804/ http://psasir.upm.edu.my/id/eprint/54804/1/A%204-Point%20Block%20Method%20for%20Solving%20Higher%20Order%20Ordinary%20Differential%20Equations%20Directly.pdf |