Solving second-order delay differential equations by direct Adams-Moulton method
This paper will consider the implementation of fifth-order direct method in the form of Adams-Moulton method for solving directly second-order delay differential equations (DDEs). The proposed direct method approximates the solutions using constant step size. The delay differential equations will be...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30294/ http://psasir.upm.edu.my/id/eprint/30294/1/Solving%20second.pdf |
| _version_ | 1848846636615204864 |
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| author | Hoo, Yann Seong Abdul Majid, Zanariah Ismail, Fudziah |
| author_facet | Hoo, Yann Seong Abdul Majid, Zanariah Ismail, Fudziah |
| author_sort | Hoo, Yann Seong |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper will consider the implementation of fifth-order direct method in the form of Adams-Moulton method for solving directly second-order delay differential equations (DDEs). The proposed direct method approximates the solutions using constant step size. The delay differential equations will be treated in their original forms without being reduced to systems of first-order ordinary differential equations (ODEs). Numerical results are presented to show that the proposed direct method is suitable for solving second-order delay differential equations. |
| first_indexed | 2025-11-15T09:05:52Z |
| format | Article |
| id | upm-30294 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:52Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-302942015-09-11T03:25:25Z http://psasir.upm.edu.my/id/eprint/30294/ Solving second-order delay differential equations by direct Adams-Moulton method Hoo, Yann Seong Abdul Majid, Zanariah Ismail, Fudziah This paper will consider the implementation of fifth-order direct method in the form of Adams-Moulton method for solving directly second-order delay differential equations (DDEs). The proposed direct method approximates the solutions using constant step size. The delay differential equations will be treated in their original forms without being reduced to systems of first-order ordinary differential equations (ODEs). Numerical results are presented to show that the proposed direct method is suitable for solving second-order delay differential equations. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30294/1/Solving%20second.pdf Hoo, Yann Seong and Abdul Majid, Zanariah and Ismail, Fudziah (2013) Solving second-order delay differential equations by direct Adams-Moulton method. Mathematical Problems in Engineering, 2013. art. no. 261240. pp. 1-7. ISSN 1024-123X; ESSN: 1563-5147 http://www.hindawi.com/journals/mpe/2013/261240/ 10.1155/2013/261240 English |
| spellingShingle | Hoo, Yann Seong Abdul Majid, Zanariah Ismail, Fudziah Solving second-order delay differential equations by direct Adams-Moulton method |
| title | Solving second-order delay differential equations by direct Adams-Moulton method |
| title_full | Solving second-order delay differential equations by direct Adams-Moulton method |
| title_fullStr | Solving second-order delay differential equations by direct Adams-Moulton method |
| title_full_unstemmed | Solving second-order delay differential equations by direct Adams-Moulton method |
| title_short | Solving second-order delay differential equations by direct Adams-Moulton method |
| title_sort | solving second-order delay differential equations by direct adams-moulton method |
| url | http://psasir.upm.edu.my/id/eprint/30294/ http://psasir.upm.edu.my/id/eprint/30294/ http://psasir.upm.edu.my/id/eprint/30294/ http://psasir.upm.edu.my/id/eprint/30294/1/Solving%20second.pdf |