Two and three point implicit second derivative block methods for solving first order ordinary differential equations
In this research we developed implicit block methods which make used of the first and second derivatives of the problems.The aim is to give a more accurate as well as faster numerical results for solving first order ordinary differential equations.The methods are then used to solve a set of first...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Academy of Sciences Malaysia
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/82450/ http://psasir.upm.edu.my/id/eprint/82450/1/Two%20and%20three%20point%20implicit%20second%20derivative%20block%20methods%20for%20solving%20first%20order%20ordinary%20differential%20equations.pdf |
| _version_ | 1848859291050573824 |
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| author | Turki, Mohammed Yousif Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_facet | Turki, Mohammed Yousif Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi |
| author_sort | Turki, Mohammed Yousif |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this research we developed implicit block methods which make used of the first and second derivatives of the problems.The aim is to give a more accurate as well as faster numerical results for solving first order ordinary differential equations.The methods are then used to solve a set of first order initial value problems.Numerical results clearly show that the new proposed methods performed better than other well-known existing methods in solving the set of test problems. |
| first_indexed | 2025-11-15T12:27:00Z |
| format | Article |
| id | upm-82450 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:27:00Z |
| publishDate | 2019 |
| publisher | Academy of Sciences Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-824502021-08-09T00:54:17Z http://psasir.upm.edu.my/id/eprint/82450/ Two and three point implicit second derivative block methods for solving first order ordinary differential equations Turki, Mohammed Yousif Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi In this research we developed implicit block methods which make used of the first and second derivatives of the problems.The aim is to give a more accurate as well as faster numerical results for solving first order ordinary differential equations.The methods are then used to solve a set of first order initial value problems.Numerical results clearly show that the new proposed methods performed better than other well-known existing methods in solving the set of test problems. Academy of Sciences Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82450/1/Two%20and%20three%20point%20implicit%20second%20derivative%20block%20methods%20for%20solving%20first%20order%20ordinary%20differential%20equations.pdf Turki, Mohammed Yousif and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi (2019) Two and three point implicit second derivative block methods for solving first order ordinary differential equations. ASM Science Journal, 12 (spec.1). pp. 10-23. ISSN 1823-6782; ESSN: 2682-8901 https://www.akademisains.gov.my/asmsj/asm-sc-j-12-special-issue-1-2019-for-iqrac2018/ |
| spellingShingle | Turki, Mohammed Yousif Ismail, Fudziah Senu, Norazak Ibrahim, Zarina Bibi Two and three point implicit second derivative block methods for solving first order ordinary differential equations |
| title | Two and three point implicit second derivative block methods for solving first order ordinary differential equations |
| title_full | Two and three point implicit second derivative block methods for solving first order ordinary differential equations |
| title_fullStr | Two and three point implicit second derivative block methods for solving first order ordinary differential equations |
| title_full_unstemmed | Two and three point implicit second derivative block methods for solving first order ordinary differential equations |
| title_short | Two and three point implicit second derivative block methods for solving first order ordinary differential equations |
| title_sort | two and three point implicit second derivative block methods for solving first order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/82450/ http://psasir.upm.edu.my/id/eprint/82450/ http://psasir.upm.edu.my/id/eprint/82450/1/Two%20and%20three%20point%20implicit%20second%20derivative%20block%20methods%20for%20solving%20first%20order%20ordinary%20differential%20equations.pdf |