Block hybrid collocation method for higher order ordinary differential equations
Five step block hybrid collocation method consist of two off-step points was proposed in this project for direct solution of third order initial value problems of ordinary differential equations. Collocation and interpolation approaches was used to derive the main and additional methods and combine...
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| Format: | Final Year Project / Dissertation / Thesis |
| Published: |
2022
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| Online Access: | http://eprints.utar.edu.my/4972/ http://eprints.utar.edu.my/4972/1/ProjectReport_LingNingWei.pdf |
| _version_ | 1848886291490406400 |
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| author | Ling, Ning Wei |
| author_facet | Ling, Ning Wei |
| author_sort | Ling, Ning Wei |
| building | UTAR Institutional Repository |
| collection | Online Access |
| description | Five step block hybrid collocation method consist of two off-step points was proposed in this project for direct solution of third order initial value problems of ordinary differential equations. Collocation and interpolation approaches was used to derive the main and additional methods and combine all methods into block form to approximate the solution at the main points and the off-step points simultaneously. The order and stability properties of the method were analysed. Some test problems were used to test the performance of accuracy of the method by compared to existing methods. The method applied to solve the thin film flow problem and compare the result with the existing methods. |
| first_indexed | 2025-11-15T19:36:10Z |
| format | Final Year Project / Dissertation / Thesis |
| id | utar-4972 |
| institution | Universiti Tunku Abdul Rahman |
| institution_category | Local University |
| last_indexed | 2025-11-15T19:36:10Z |
| publishDate | 2022 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utar-49722022-12-29T14:12:13Z Block hybrid collocation method for higher order ordinary differential equations Ling, Ning Wei QA Mathematics Five step block hybrid collocation method consist of two off-step points was proposed in this project for direct solution of third order initial value problems of ordinary differential equations. Collocation and interpolation approaches was used to derive the main and additional methods and combine all methods into block form to approximate the solution at the main points and the off-step points simultaneously. The order and stability properties of the method were analysed. Some test problems were used to test the performance of accuracy of the method by compared to existing methods. The method applied to solve the thin film flow problem and compare the result with the existing methods. 2022 Final Year Project / Dissertation / Thesis NonPeerReviewed application/pdf http://eprints.utar.edu.my/4972/1/ProjectReport_LingNingWei.pdf Ling, Ning Wei (2022) Block hybrid collocation method for higher order ordinary differential equations. Master dissertation/thesis, UTAR. http://eprints.utar.edu.my/4972/ |
| spellingShingle | QA Mathematics Ling, Ning Wei Block hybrid collocation method for higher order ordinary differential equations |
| title | Block hybrid collocation method for higher order ordinary differential equations |
| title_full | Block hybrid collocation method for higher order ordinary differential equations |
| title_fullStr | Block hybrid collocation method for higher order ordinary differential equations |
| title_full_unstemmed | Block hybrid collocation method for higher order ordinary differential equations |
| title_short | Block hybrid collocation method for higher order ordinary differential equations |
| title_sort | block hybrid collocation method for higher order ordinary differential equations |
| topic | QA Mathematics |
| url | http://eprints.utar.edu.my/4972/ http://eprints.utar.edu.my/4972/1/ProjectReport_LingNingWei.pdf |