Ninth order block hybrid collocation method for second order ordinary differential equations
A ninth order block hybrid collocation method is proposed for solving general second order ordinary differential equations directly. The derivation involves interpolation and collocation of basic polynomial that generates the main and additional methods. These methods are applied simultaneously to p...
| Main Authors: | , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2015
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57598/ http://psasir.upm.edu.my/id/eprint/57598/1/Ninth%20order%20block%20hybrid%20collocation%20method%20for%20second%20order%20ordinary%20differential%20equations.pdf |
| _version_ | 1848853411878928384 |
|---|---|
| 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 | A ninth order block hybrid collocation method is proposed for solving general second order ordinary differential equations directly. The derivation involves interpolation and collocation of basic polynomial that generates the main and additional methods. These methods are applied simultaneously to provide approximate solutions at five main points and three off-step points. The stability properties of the block method are discussed. Some illustrative examples are given to demonstrate the efficiency of the method. |
| first_indexed | 2025-11-15T10:53:33Z |
| format | Conference or Workshop Item |
| id | upm-57598 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:33Z |
| publishDate | 2015 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-575982017-10-24T07:30:50Z http://psasir.upm.edu.my/id/eprint/57598/ Ninth order block hybrid collocation method for second order ordinary differential equations Yap, Lee Ken Ismail, Fudziah A ninth order block hybrid collocation method is proposed for solving general second order ordinary differential equations directly. The derivation involves interpolation and collocation of basic polynomial that generates the main and additional methods. These methods are applied simultaneously to provide approximate solutions at five main points and three off-step points. The stability properties of the block method are discussed. Some illustrative examples are given to demonstrate the efficiency of the method. AIP Publishing LLC 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57598/1/Ninth%20order%20block%20hybrid%20collocation%20method%20for%20second%20order%20ordinary%20differential%20equations.pdf Yap, Lee Ken and Ismail, Fudziah (2015) Ninth order block hybrid collocation method for second order ordinary differential equations. In: 1st Progress in Applied Mathematics in Science and Engineering 2015 (PIAMSE 2015), 29 Sept.-1 Oct. 2015, Bali, Indonesia. (pp. 1-8). 10.1063/1.4940254 |
| spellingShingle | Yap, Lee Ken Ismail, Fudziah Ninth order block hybrid collocation method for second order ordinary differential equations |
| title | Ninth order block hybrid collocation method for second order ordinary differential equations |
| title_full | Ninth order block hybrid collocation method for second order ordinary differential equations |
| title_fullStr | Ninth order block hybrid collocation method for second order ordinary differential equations |
| title_full_unstemmed | Ninth order block hybrid collocation method for second order ordinary differential equations |
| title_short | Ninth order block hybrid collocation method for second order ordinary differential equations |
| title_sort | ninth order block hybrid collocation method for second order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57598/ http://psasir.upm.edu.my/id/eprint/57598/ http://psasir.upm.edu.my/id/eprint/57598/1/Ninth%20order%20block%20hybrid%20collocation%20method%20for%20second%20order%20ordinary%20differential%20equations.pdf |