A direct 4-point predictor-corrector block method for solving general third order ODEs
A multistep integration method based on Adams type formulae subject to varying step size is proposed for direct solution of general third order ordinary differential equations (ODEs). This direct 4-point block method will be implemented in Pk-1 E(Ck E)m mode and the numerical solution will be genera...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/48263/ http://psasir.upm.edu.my/id/eprint/48263/1/A%20direct%204-point%20predictor-corrector%20block%20method%20for%20solving%20general%20third%20order%20ODEs.pdf |
| _version_ | 1848851034685833216 |
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| author | Waeleh, Nazreen Abdul Majid, Zanariah Ismail, Fudziah Lee, Lai Soon |
| author_facet | Waeleh, Nazreen Abdul Majid, Zanariah Ismail, Fudziah Lee, Lai Soon |
| author_sort | Waeleh, Nazreen |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A multistep integration method based on Adams type formulae subject to varying step size is proposed for direct solution of general third order ordinary differential equations (ODEs). This direct 4-point block method will be implemented in Pk-1 E(Ck E)m mode and the numerical solution will be generated at four equally distance points simultaneously. Numerical results are given to compare the efficiency of this developed block method to the existence method in [1]. |
| first_indexed | 2025-11-15T10:15:46Z |
| format | Conference or Workshop Item |
| id | upm-48263 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:15:46Z |
| publishDate | 2011 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-482632016-08-04T08:12:03Z http://psasir.upm.edu.my/id/eprint/48263/ A direct 4-point predictor-corrector block method for solving general third order ODEs Waeleh, Nazreen Abdul Majid, Zanariah Ismail, Fudziah Lee, Lai Soon A multistep integration method based on Adams type formulae subject to varying step size is proposed for direct solution of general third order ordinary differential equations (ODEs). This direct 4-point block method will be implemented in Pk-1 E(Ck E)m mode and the numerical solution will be generated at four equally distance points simultaneously. Numerical results are given to compare the efficiency of this developed block method to the existence method in [1]. IEEE 2011 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/48263/1/A%20direct%204-point%20predictor-corrector%20block%20method%20for%20solving%20general%20third%20order%20ODEs.pdf Waeleh, Nazreen and Abdul Majid, Zanariah and Ismail, Fudziah and Lee, Lai Soon (2011) A direct 4-point predictor-corrector block method for solving general third order ODEs. In: 4th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO 2011), 19-21 Apr. 2011, Kuala Lumpur, Malaysia. . 10.1109/ICMSAO.2011.5775503 |
| spellingShingle | Waeleh, Nazreen Abdul Majid, Zanariah Ismail, Fudziah Lee, Lai Soon A direct 4-point predictor-corrector block method for solving general third order ODEs |
| title | A direct 4-point predictor-corrector block method for solving general third order ODEs |
| title_full | A direct 4-point predictor-corrector block method for solving general third order ODEs |
| title_fullStr | A direct 4-point predictor-corrector block method for solving general third order ODEs |
| title_full_unstemmed | A direct 4-point predictor-corrector block method for solving general third order ODEs |
| title_short | A direct 4-point predictor-corrector block method for solving general third order ODEs |
| title_sort | direct 4-point predictor-corrector block method for solving general third order odes |
| url | http://psasir.upm.edu.my/id/eprint/48263/ http://psasir.upm.edu.my/id/eprint/48263/ http://psasir.upm.edu.my/id/eprint/48263/1/A%20direct%204-point%20predictor-corrector%20block%20method%20for%20solving%20general%20third%20order%20ODEs.pdf |