Predictor-corrector block iteration method for solving ordinary differential equations
Predictor-corrector two point block methods are developed for solving first order ordinary differential equations (ODEs) using variable step size. The method will estimate the solutions of initial value problems (IVPs) at two points simultaneously. The existence multistep method involves the computa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2519/ http://journalarticle.ukm.my/2519/1/18_Zanariah.pdf |
| _version_ | 1848809892632068096 |
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| author | Zanariah Abdul Majid, Mohamed Suleiman, |
| author_facet | Zanariah Abdul Majid, Mohamed Suleiman, |
| author_sort | Zanariah Abdul Majid, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | Predictor-corrector two point block methods are developed for solving first order ordinary differential equations (ODEs) using variable step size. The method will estimate the solutions of initial value problems (IVPs) at two points simultaneously. The existence multistep method involves the computations of the divided differences and integration coefficients when using the variable step size or variable step size and order. The block method developed will be presented as in the form of Adams Bashforth - Moulton type and the coefficients will be stored in the code. The efficiency of the predictor-corrector block method is compared to the standard variable step and order non block multistep method in terms of total number of steps, maximum error, total function calls and execution times. |
| first_indexed | 2025-11-14T23:21:50Z |
| format | Article |
| id | oai:generic.eprints.org:2519 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:21:50Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:25192016-12-14T06:31:51Z http://journalarticle.ukm.my/2519/ Predictor-corrector block iteration method for solving ordinary differential equations Zanariah Abdul Majid, Mohamed Suleiman, Predictor-corrector two point block methods are developed for solving first order ordinary differential equations (ODEs) using variable step size. The method will estimate the solutions of initial value problems (IVPs) at two points simultaneously. The existence multistep method involves the computations of the divided differences and integration coefficients when using the variable step size or variable step size and order. The block method developed will be presented as in the form of Adams Bashforth - Moulton type and the coefficients will be stored in the code. The efficiency of the predictor-corrector block method is compared to the standard variable step and order non block multistep method in terms of total number of steps, maximum error, total function calls and execution times. Universiti Kebangsaan Malaysia 2011-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2519/1/18_Zanariah.pdf Zanariah Abdul Majid, and Mohamed Suleiman, (2011) Predictor-corrector block iteration method for solving ordinary differential equations. Sains Malaysiana, 40 (6). pp. 659-664. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | Zanariah Abdul Majid, Mohamed Suleiman, Predictor-corrector block iteration method for solving ordinary differential equations |
| title | Predictor-corrector block iteration method for solving
ordinary differential equations |
| title_full | Predictor-corrector block iteration method for solving
ordinary differential equations |
| title_fullStr | Predictor-corrector block iteration method for solving
ordinary differential equations |
| title_full_unstemmed | Predictor-corrector block iteration method for solving
ordinary differential equations |
| title_short | Predictor-corrector block iteration method for solving
ordinary differential equations |
| title_sort | predictor-corrector block iteration method for solving
ordinary differential equations |
| url | http://journalarticle.ukm.my/2519/ http://journalarticle.ukm.my/2519/ http://journalarticle.ukm.my/2519/1/18_Zanariah.pdf |