Block hybrid collocation method with application to fourth order differential equations
The block hybrid collocation method with three off-step points is proposed for the direct solution of fourth order ordinary differential equations. The interpolation and collocation techniques are applied on basic polynomial to generate the main and additional methods. These methods are implemented...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/43959/ http://psasir.upm.edu.my/id/eprint/43959/1/Block%20hybrid%20collocation%20method%20with%20application%20to%20fourth%20order%20differential%20equations.pdf |
| _version_ | 1848850370172813312 |
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| author | Yap, Lee Ken Ismail, Fudziah |
| author_facet | Yap, Lee Ken Ismail, Fudziah |
| author_sort | Yap, Lee Ken |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The block hybrid collocation method with three off-step points is proposed for the direct solution of fourth order ordinary differential equations. The interpolation and collocation techniques are applied on basic polynomial to generate the main and additional methods. These methods are implemented in block form to obtain the approximation at seven points simultaneously. Numerical experiments are conducted to illustrate the efficiency of the method. The method is also applied to solve the fourth order problem from ship dynamics. |
| first_indexed | 2025-11-15T10:05:12Z |
| format | Article |
| id | upm-43959 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:05:12Z |
| publishDate | 2015 |
| publisher | Hindawi |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-439592021-12-01T08:05:18Z http://psasir.upm.edu.my/id/eprint/43959/ Block hybrid collocation method with application to fourth order differential equations Yap, Lee Ken Ismail, Fudziah The block hybrid collocation method with three off-step points is proposed for the direct solution of fourth order ordinary differential equations. The interpolation and collocation techniques are applied on basic polynomial to generate the main and additional methods. These methods are implemented in block form to obtain the approximation at seven points simultaneously. Numerical experiments are conducted to illustrate the efficiency of the method. The method is also applied to solve the fourth order problem from ship dynamics. Hindawi 2015 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/43959/1/Block%20hybrid%20collocation%20method%20with%20application%20to%20fourth%20order%20differential%20equations.pdf Yap, Lee Ken and Ismail, Fudziah (2015) Block hybrid collocation method with application to fourth order differential equations. Mathematical Problems in Engineering, 2015. art. no. 561489. pp. 1-6. ISSN 1024-123X; ESSN: 1563-5147 https://www.hindawi.com/journals/mpe/2015/561489/ 10.1155/2015/561489 |
| spellingShingle | Yap, Lee Ken Ismail, Fudziah Block hybrid collocation method with application to fourth order differential equations |
| title | Block hybrid collocation method with application to fourth order differential equations |
| title_full | Block hybrid collocation method with application to fourth order differential equations |
| title_fullStr | Block hybrid collocation method with application to fourth order differential equations |
| title_full_unstemmed | Block hybrid collocation method with application to fourth order differential equations |
| title_short | Block hybrid collocation method with application to fourth order differential equations |
| title_sort | block hybrid collocation method with application to fourth order differential equations |
| url | http://psasir.upm.edu.my/id/eprint/43959/ http://psasir.upm.edu.my/id/eprint/43959/ http://psasir.upm.edu.my/id/eprint/43959/ http://psasir.upm.edu.my/id/eprint/43959/1/Block%20hybrid%20collocation%20method%20with%20application%20to%20fourth%20order%20differential%20equations.pdf |