New computational method for solving ordinary differential equations
In this paper we present a developed couple block method for solving first order ordinary differential equations (ODEs). The coupled block method consists of two proposed block methods for example the two point two step block method of order five and three point two step block method of order six. T...
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25061/1/New%20computational%20method%20for%20solving%20ordinary%20differential%20equations.pdf |
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| author | Hue, Chi San Abdul Majid, Zanariah Othman, Mohamed Suleiman, Mohamed |
| author_facet | Hue, Chi San Abdul Majid, Zanariah Othman, Mohamed Suleiman, Mohamed |
| author_sort | Hue, Chi San |
| collection | UPM |
| description | In this paper we present a developed couple block method for solving first order ordinary differential equations (ODEs). The coupled block method consists of two proposed block methods for example the two point two step block method of order five and three point two step block method of order six. Therefore, these methods will estimate the numerical solutions at two and three points simultaneously within a block. The proposed block method is derived using Lagrange interpolation polynomial and is presented as in the simple form of the Adams Moulton type. The developed code is implemented using variable step size and order. The stability of the methods is also studied. Numerical results are presented to compare the performance of the developed code to the existence block method. |
| first_indexed | 2024-03-06T08:01:43Z |
| format | Article |
| id | upm.eprints-25061 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:01:43Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | upm.eprints-250612017-04-05T07:51:50Z http://psasir.upm.edu.my/id/eprint/25061/ New computational method for solving ordinary differential equations Hue, Chi San Abdul Majid, Zanariah Othman, Mohamed Suleiman, Mohamed In this paper we present a developed couple block method for solving first order ordinary differential equations (ODEs). The coupled block method consists of two proposed block methods for example the two point two step block method of order five and three point two step block method of order six. Therefore, these methods will estimate the numerical solutions at two and three points simultaneously within a block. The proposed block method is derived using Lagrange interpolation polynomial and is presented as in the simple form of the Adams Moulton type. The developed code is implemented using variable step size and order. The stability of the methods is also studied. Numerical results are presented to compare the performance of the developed code to the existence block method. Universiti Kebangsaan Malaysia 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25061/1/New%20computational%20method%20for%20solving%20ordinary%20differential%20equations.pdf Hue, Chi San and Abdul Majid, Zanariah and Othman, Mohamed and Suleiman, Mohamed (2011) New computational method for solving ordinary differential equations. Journal of Quality Measurement and Analysis, 7 (1). 85- 96. ISSN 1823-5670 http://www.ukm.my/jqma/jqma7_1a.html |
| spellingShingle | Hue, Chi San Abdul Majid, Zanariah Othman, Mohamed Suleiman, Mohamed New computational method for solving ordinary differential equations |
| title | New computational method for solving ordinary differential equations |
| title_full | New computational method for solving ordinary differential equations |
| title_fullStr | New computational method for solving ordinary differential equations |
| title_full_unstemmed | New computational method for solving ordinary differential equations |
| title_short | New computational method for solving ordinary differential equations |
| title_sort | new computational method for solving ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/25061/1/New%20computational%20method%20for%20solving%20ordinary%20differential%20equations.pdf |
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