Penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki
The improved block hybrid collocation method (KBHK(B)) with two off-step points and four collocation points is proposed for the direct solution of general third order ordinary differential equations. Modification is done by adding first derivative of third order function into the general form of blo...
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2018
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| Online Access: | http://journalarticle.ukm.my/12410/ http://journalarticle.ukm.my/12410/1/28%20Lee%20Khai%20Chien.pdf |
| _version_ | 1848812994038857728 |
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| author | Lee, Khai Chien Ummul Khair Salma Din, Rokiah Rozita Ahmad, |
| author_facet | Lee, Khai Chien Ummul Khair Salma Din, Rokiah Rozita Ahmad, |
| author_sort | Lee, Khai Chien |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | The improved block hybrid collocation method (KBHK(B)) with two off-step points and four collocation points is proposed for the direct solution of general third order ordinary differential equations. Modification is done by adding first derivative of third order function into the general form of block hybrid collocation method to yield KBHK(B). Both main and additional methods are derived via interpolation (power series function) and collocation of the basic polynomial. An improved block method is derived to provide the approximation at five points concurrently. Zero stability, consistency, convergence and absolute stability region of KBHK(B) are investigated. Some numerical examples with exact solution are tested to illustrate the efficiency of the method. KBHK(B) is compared by other block hibrid collocation method in term of global error and step number. It is shown that KBHK(B) generates minimum global error with minimum step number. |
| first_indexed | 2025-11-15T00:11:08Z |
| format | Article |
| id | oai:generic.eprints.org:12410 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:11:08Z |
| publishDate | 2018 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:124102018-12-07T23:44:01Z http://journalarticle.ukm.my/12410/ Penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki Lee, Khai Chien Ummul Khair Salma Din, Rokiah Rozita Ahmad, The improved block hybrid collocation method (KBHK(B)) with two off-step points and four collocation points is proposed for the direct solution of general third order ordinary differential equations. Modification is done by adding first derivative of third order function into the general form of block hybrid collocation method to yield KBHK(B). Both main and additional methods are derived via interpolation (power series function) and collocation of the basic polynomial. An improved block method is derived to provide the approximation at five points concurrently. Zero stability, consistency, convergence and absolute stability region of KBHK(B) are investigated. Some numerical examples with exact solution are tested to illustrate the efficiency of the method. KBHK(B) is compared by other block hibrid collocation method in term of global error and step number. It is shown that KBHK(B) generates minimum global error with minimum step number. Penerbit Universiti Kebangsaan Malaysia 2018-09 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/12410/1/28%20Lee%20Khai%20Chien.pdf Lee, Khai Chien and Ummul Khair Salma Din, and Rokiah Rozita Ahmad, (2018) Penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki. Sains Malaysiana, 47 (9). pp. 2179-2186. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid47bil9_2018/KandunganJilid47Bil9_2018.htm |
| spellingShingle | Lee, Khai Chien Ummul Khair Salma Din, Rokiah Rozita Ahmad, Penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki |
| title | Penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki |
| title_full | Penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki |
| title_fullStr | Penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki |
| title_full_unstemmed | Penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki |
| title_short | Penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki |
| title_sort | penyelesaian terus persamaan pembezaan biasa peringkat tiga menggunakan kaedah blok hibrid kolokasi diperbaiki |
| url | http://journalarticle.ukm.my/12410/ http://journalarticle.ukm.my/12410/ http://journalarticle.ukm.my/12410/1/28%20Lee%20Khai%20Chien.pdf |