Direct solution of initial and boundary value problems of third order ODEs using maximal-order fourth-derivative block method
Improved accuracy has been observed in block methods with the presence of higher derivatives when implemented to solve first order and higher order ordinary differential equations. This improvement in accuracy is as a result of the increased order possessed by the higher derivative block method. In...
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| Format: | Article |
| Language: | English |
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IP Publishing LLC
2019
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| Online Access: | https://repo.uum.edu.my/id/eprint/27939/1/APCP%202138%202019%201%207.pdf |
| _version_ | 1825805718967549952 |
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| author | Adeyeye, Oluwaseun Omar, Zurni |
| author_facet | Adeyeye, Oluwaseun Omar, Zurni |
| author_sort | Adeyeye, Oluwaseun |
| collection | UUM |
| description | Improved accuracy has been observed in block methods with the presence of higher derivatives when implemented to solve first order and higher order ordinary differential equations. This improvement in accuracy is as a result of the increased order possessed by the higher derivative block method. In this article, a fourth-derivative block method of maximal-order is introduced to solve third order initial and boundary value problems. The block method possesses convergent properties required for any good
numerical method and it is suitable for solving third order ODE models. This is evident in its improved performance over other methods in terms of comparison to the exact solution of the numerical problems considered. |
| first_indexed | 2024-07-04T06:36:51Z |
| format | Article |
| id | uum-27939 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:51Z |
| publishDate | 2019 |
| publisher | IP Publishing LLC |
| record_format | eprints |
| spelling | uum-279392020-12-01T06:03:10Z https://repo.uum.edu.my/id/eprint/27939/ Direct solution of initial and boundary value problems of third order ODEs using maximal-order fourth-derivative block method Adeyeye, Oluwaseun Omar, Zurni QA75 Electronic computers. Computer science Improved accuracy has been observed in block methods with the presence of higher derivatives when implemented to solve first order and higher order ordinary differential equations. This improvement in accuracy is as a result of the increased order possessed by the higher derivative block method. In this article, a fourth-derivative block method of maximal-order is introduced to solve third order initial and boundary value problems. The block method possesses convergent properties required for any good numerical method and it is suitable for solving third order ODE models. This is evident in its improved performance over other methods in terms of comparison to the exact solution of the numerical problems considered. IP Publishing LLC 2019 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27939/1/APCP%202138%202019%201%207.pdf Adeyeye, Oluwaseun and Omar, Zurni (2019) Direct solution of initial and boundary value problems of third order ODEs using maximal-order fourth-derivative block method. AIP Conference Proceedings, 2138. pp. 1-7. ISSN 0094-243X http://doi.org/10.1063/1.5121039 doi:10.1063/1.5121039 doi:10.1063/1.5121039 |
| spellingShingle | QA75 Electronic computers. Computer science Adeyeye, Oluwaseun Omar, Zurni Direct solution of initial and boundary value problems of third order ODEs using maximal-order fourth-derivative block method |
| title | Direct solution of initial and boundary value problems of third order ODEs using maximal-order fourth-derivative block method |
| title_full | Direct solution of initial and boundary value problems of third order ODEs using maximal-order fourth-derivative block method |
| title_fullStr | Direct solution of initial and boundary value problems of third order ODEs using maximal-order fourth-derivative block method |
| title_full_unstemmed | Direct solution of initial and boundary value problems of third order ODEs using maximal-order fourth-derivative block method |
| title_short | Direct solution of initial and boundary value problems of third order ODEs using maximal-order fourth-derivative block method |
| title_sort | direct solution of initial and boundary value problems of third order odes using maximal order fourth derivative block method |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27939/1/APCP%202138%202019%201%207.pdf |
| work_keys_str_mv | AT adeyeyeoluwaseun directsolutionofinitialandboundaryvalueproblemsofthirdorderodesusingmaximalorderfourthderivativeblockmethod AT omarzurni directsolutionofinitialandboundaryvalueproblemsofthirdorderodesusingmaximalorderfourthderivativeblockmethod |