New self-starting approach for solving special third order initial value problems
Third order initial value problems are generally solved numerically by developing numerical methods designed for third order differential equations. Also, to improve the accuracy of the methods, most of the numerical methods are implemented with starting values. However, it has been observed that...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academic Publications, Ltd.
2018
|
| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/27944/1/2.pdf |
| _version_ | 1803629376152010752 |
|---|---|
| author | Oluwaseun, Adeyeye Omar, Zurni |
| author_facet | Oluwaseun, Adeyeye Omar, Zurni |
| author_sort | Oluwaseun, Adeyeye |
| collection | UUM |
| description | Third order initial value problems are generally solved numerically by developing
numerical methods designed for third order differential equations. Also, to improve the accuracy of the methods, most of the numerical methods are implemented with starting values.
However, it has been observed that a third derivative method developed for solving second
order initial value problems can also be adopted to solve third order initial value problems.
Although, this third derivative method is adopted in self-starting mode, it is seen to be very
relevant from the results obtained in this paper. This third derivative block method is adopted
to solve some special third order numerical problems previously solved in literature and the
method gave better results despite that the previous methods have equal and higher order. |
| first_indexed | 2024-07-04T06:36:52Z |
| format | Article |
| id | uum-27944 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:52Z |
| publishDate | 2018 |
| publisher | Academic Publications, Ltd. |
| record_format | dspace |
| spelling | uum-279442020-12-02T07:01:39Z https://repo.uum.edu.my/id/eprint/27944/ New self-starting approach for solving special third order initial value problems Oluwaseun, Adeyeye Omar, Zurni QA75 Electronic computers. Computer science Third order initial value problems are generally solved numerically by developing numerical methods designed for third order differential equations. Also, to improve the accuracy of the methods, most of the numerical methods are implemented with starting values. However, it has been observed that a third derivative method developed for solving second order initial value problems can also be adopted to solve third order initial value problems. Although, this third derivative method is adopted in self-starting mode, it is seen to be very relevant from the results obtained in this paper. This third derivative block method is adopted to solve some special third order numerical problems previously solved in literature and the method gave better results despite that the previous methods have equal and higher order. Academic Publications, Ltd. 2018 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27944/1/2.pdf Oluwaseun, Adeyeye and Omar, Zurni (2018) New self-starting approach for solving special third order initial value problems. International Journal of Pure and Applied Mathematics, 118 (3). pp. 1-8. ISSN 1311-8080 https://ijpam.eu/contents/2018-118-3/index.html |
| spellingShingle | QA75 Electronic computers. Computer science Oluwaseun, Adeyeye Omar, Zurni New self-starting approach for solving special third order initial value problems |
| title | New self-starting approach for solving special third order initial value problems |
| title_full | New self-starting approach for solving special third order initial value problems |
| title_fullStr | New self-starting approach for solving special third order initial value problems |
| title_full_unstemmed | New self-starting approach for solving special third order initial value problems |
| title_short | New self-starting approach for solving special third order initial value problems |
| title_sort | new self starting approach for solving special third order initial value problems |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27944/1/2.pdf |
| work_keys_str_mv | AT oluwaseunadeyeye newselfstartingapproachforsolvingspecialthirdorderinitialvalueproblems AT omarzurni newselfstartingapproachforsolvingspecialthirdorderinitialvalueproblems |