Diagonally implicit block backward differentiation formulas for solving ordinary differential equations
This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas (DI2BBDF) for solving first-order initial value problem (IVP) with two fixed points. The method approximates the solution at two points simultaneously. The implementation and the stability o...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/56242/1/56242.pdf |
| _version_ | 1825931377460117504 |
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| author | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Ismail, Fudziah Abdul Majid, Zanariah |
| author_facet | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Ismail, Fudziah Abdul Majid, Zanariah |
| author_sort | Mohd Zawawi, Iskandar Shah |
| collection | UPM |
| description | This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas (DI2BBDF) for solving first-order initial value problem (IVP) with two fixed points. The method approximates the solution at two points simultaneously. The implementation and the stability of the proposed method are also discussed. A performance of the DI2BBDF is compared with the existing methods. |
| first_indexed | 2024-03-06T09:25:49Z |
| format | Article |
| id | upm.eprints-56242 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:25:49Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-562422017-07-04T03:03:10Z http://psasir.upm.edu.my/id/eprint/56242/ Diagonally implicit block backward differentiation formulas for solving ordinary differential equations Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Ismail, Fudziah Abdul Majid, Zanariah This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas (DI2BBDF) for solving first-order initial value problem (IVP) with two fixed points. The method approximates the solution at two points simultaneously. The implementation and the stability of the proposed method are also discussed. A performance of the DI2BBDF is compared with the existing methods. Hindawi Publishing Corporation 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56242/1/56242.pdf Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi and Ismail, Fudziah and Abdul Majid, Zanariah (2012) Diagonally implicit block backward differentiation formulas for solving ordinary differential equations. International Journal of Mathematics and Mathematical Sciences, 2012. art. no. 767328. pp. 1-8. ISSN 0161-1712; ESSN: 1687-0425 https://www.hindawi.com/journals/ijmms/2012/767328/abs/ 10.1155/2012/767328 |
| spellingShingle | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Ismail, Fudziah Abdul Majid, Zanariah Diagonally implicit block backward differentiation formulas for solving ordinary differential equations |
| title | Diagonally implicit block backward differentiation formulas for solving ordinary differential equations |
| title_full | Diagonally implicit block backward differentiation formulas for solving ordinary differential equations |
| title_fullStr | Diagonally implicit block backward differentiation formulas for solving ordinary differential equations |
| title_full_unstemmed | Diagonally implicit block backward differentiation formulas for solving ordinary differential equations |
| title_short | Diagonally implicit block backward differentiation formulas for solving ordinary differential equations |
| title_sort | diagonally implicit block backward differentiation formulas for solving ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/56242/1/56242.pdf |
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