New linear block method for third order ordinary differential equations
The diversity of adopting different step by step approach when developing block methods of the formis quite rigorous. Hence, this study presents an approach called Linear Block Method (LBM) capable of producing directly any k steplength value of block methods for solving third order ordinary differe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Medwell Publishing
2018
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| Online Access: | https://repo.uum.edu.my/id/eprint/27917/1/JEAS%2013%2013%202018%204913-4916.pdf |
| _version_ | 1803629370777010176 |
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| author | Adeyeye, Oluwaseun Omar, Zurni |
| author_facet | Adeyeye, Oluwaseun Omar, Zurni |
| author_sort | Adeyeye, Oluwaseun |
| collection | UUM |
| description | The diversity of adopting different step by step approach when developing block methods of the formis quite rigorous. Hence, this study presents an approach called Linear Block Method (LBM) capable of producing directly any k steplength value of block methods for solving third order ordinary differential equations. The LBM algorithm is validated by recovering certain existing k-step block methods in literature. Likewise, the computational complexity of the LBM algorithm is presented. |
| first_indexed | 2024-07-04T06:36:47Z |
| format | Article |
| id | uum-27917 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:47Z |
| publishDate | 2018 |
| publisher | Medwell Publishing |
| record_format | dspace |
| spelling | uum-279172020-12-02T07:06:18Z https://repo.uum.edu.my/id/eprint/27917/ New linear block method for third order ordinary differential equations Adeyeye, Oluwaseun Omar, Zurni QA75 Electronic computers. Computer science The diversity of adopting different step by step approach when developing block methods of the formis quite rigorous. Hence, this study presents an approach called Linear Block Method (LBM) capable of producing directly any k steplength value of block methods for solving third order ordinary differential equations. The LBM algorithm is validated by recovering certain existing k-step block methods in literature. Likewise, the computational complexity of the LBM algorithm is presented. Medwell Publishing 2018 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27917/1/JEAS%2013%2013%202018%204913-4916.pdf Adeyeye, Oluwaseun and Omar, Zurni (2018) New linear block method for third order ordinary differential equations. Journal of Engineering and Applied Sciences, 13 (13). pp. 4913-4916. ISSN 1816-949X https://medwelljournals.com/abstract/?doi=jeasci.2018.4913.4916 |
| spellingShingle | QA75 Electronic computers. Computer science Adeyeye, Oluwaseun Omar, Zurni New linear block method for third order ordinary differential equations |
| title | New linear block method for third order ordinary differential equations |
| title_full | New linear block method for third order ordinary differential equations |
| title_fullStr | New linear block method for third order ordinary differential equations |
| title_full_unstemmed | New linear block method for third order ordinary differential equations |
| title_short | New linear block method for third order ordinary differential equations |
| title_sort | new linear block method for third order ordinary differential equations |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27917/1/JEAS%2013%2013%202018%204913-4916.pdf |
| work_keys_str_mv | AT adeyeyeoluwaseun newlinearblockmethodforthirdorderordinarydifferentialequations AT omarzurni newlinearblockmethodforthirdorderordinarydifferentialequations |