Block methods based on Newton interpolation for solving special second order ordinary differential equations directly
This study focused mainly on the derivation of the 2 and 3-point block methods with constant coefficients for solving special second order ordinary differential equations directly based on Newton-Gregory backward interpolation formula. The performance of the new methods was compared with the convent...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English English |
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Science publications
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/13431/1/Block%20methods%20based%20on%20Newton%20interpolation%20for%20solving%20special%20second%20order%20ordinary%20differential%20equations%20directly.pdf |
| _version_ | 1825945235271712768 |
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| author | Yap, Yee Ken Ismail, Fudziah Suleiman, Mohamed Md. Amin, Suriah |
| author_facet | Yap, Yee Ken Ismail, Fudziah Suleiman, Mohamed Md. Amin, Suriah |
| author_sort | Yap, Yee Ken |
| collection | UPM |
| description | This study focused mainly on the derivation of the 2 and 3-point block methods with constant coefficients for solving special second order ordinary differential equations directly based on Newton-Gregory backward interpolation formula. The performance of the new methods was compared with the conventional 1-point method using a standard set of test problems. Numerical results were presented to illustrate the effectiveness of the methods in terms of total number of steps taken, maximum error and execution time. The results suggested a significant improvement in efficiency of the r-point block method. |
| first_indexed | 2024-03-06T07:28:20Z |
| format | Article |
| id | upm.eprints-13431 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:28:20Z |
| publishDate | 2008 |
| publisher | Science publications |
| record_format | dspace |
| spelling | upm.eprints-134312015-11-11T01:01:44Z http://psasir.upm.edu.my/id/eprint/13431/ Block methods based on Newton interpolation for solving special second order ordinary differential equations directly Yap, Yee Ken Ismail, Fudziah Suleiman, Mohamed Md. Amin, Suriah This study focused mainly on the derivation of the 2 and 3-point block methods with constant coefficients for solving special second order ordinary differential equations directly based on Newton-Gregory backward interpolation formula. The performance of the new methods was compared with the conventional 1-point method using a standard set of test problems. Numerical results were presented to illustrate the effectiveness of the methods in terms of total number of steps taken, maximum error and execution time. The results suggested a significant improvement in efficiency of the r-point block method. Science publications 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/13431/1/Block%20methods%20based%20on%20Newton%20interpolation%20for%20solving%20special%20second%20order%20ordinary%20differential%20equations%20directly.pdf Yap, Yee Ken and Ismail, Fudziah and Suleiman, Mohamed and Md. Amin, Suriah (2008) Block methods based on Newton interpolation for solving special second order ordinary differential equations directly. Journal of Mathematics and Statistics, 4 (3). pp. 174-180. ISSN 1549-3644 http://thescipub.com/html/10.3844/jmssp.2008.174.180 Interpolation Differential equations - Numerical solutions 10.3844/jmssp.2008.174.180 English |
| spellingShingle | Interpolation Differential equations - Numerical solutions Yap, Yee Ken Ismail, Fudziah Suleiman, Mohamed Md. Amin, Suriah Block methods based on Newton interpolation for solving special second order ordinary differential equations directly |
| title | Block methods based on Newton interpolation for solving special second order ordinary differential equations directly |
| title_full | Block methods based on Newton interpolation for solving special second order ordinary differential equations directly |
| title_fullStr | Block methods based on Newton interpolation for solving special second order ordinary differential equations directly |
| title_full_unstemmed | Block methods based on Newton interpolation for solving special second order ordinary differential equations directly |
| title_short | Block methods based on Newton interpolation for solving special second order ordinary differential equations directly |
| title_sort | block methods based on newton interpolation for solving special second order ordinary differential equations directly |
| topic | Interpolation Differential equations - Numerical solutions |
| url | http://psasir.upm.edu.my/id/eprint/13431/1/Block%20methods%20based%20on%20Newton%20interpolation%20for%20solving%20special%20second%20order%20ordinary%20differential%20equations%20directly.pdf |
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