Solving nonstiff higher order ODEs directly by the direct integration method
The variable order and stepsize direct integration (DI) method for solving systems of nonstiff higher order ODEs directly is reviewed. Mention is also made of the current inroads in solving stiff higher order ODEs directly. The advantages of the DI method over the corresponding Adams method when use...
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| Format: | Article |
| Language: | English |
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Elsevier Science
1989
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| Online Access: | http://psasir.upm.edu.my/id/eprint/115600/ http://psasir.upm.edu.my/id/eprint/115600/1/115600.pdf |
| _version_ | 1848866820768923648 |
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| author | Suleiman, Mohamed |
| author_facet | Suleiman, Mohamed |
| author_sort | Suleiman, Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The variable order and stepsize direct integration (DI) method for solving systems of nonstiff higher order ODEs directly is reviewed. Mention is also made of the current inroads in solving stiff higher order ODEs directly. The advantages of the DI method over the corresponding Adams method when used to solve the same problem as a first order system are pointed out. Numerical results are presented comparing the two methods in terms of execution times for each tolerance used and execution times for each solution of the same range of accuracy. |
| first_indexed | 2025-11-15T14:26:41Z |
| format | Article |
| id | upm-115600 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:26:41Z |
| publishDate | 1989 |
| publisher | Elsevier Science |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1156002025-07-08T04:10:17Z http://psasir.upm.edu.my/id/eprint/115600/ Solving nonstiff higher order ODEs directly by the direct integration method Suleiman, Mohamed The variable order and stepsize direct integration (DI) method for solving systems of nonstiff higher order ODEs directly is reviewed. Mention is also made of the current inroads in solving stiff higher order ODEs directly. The advantages of the DI method over the corresponding Adams method when used to solve the same problem as a first order system are pointed out. Numerical results are presented comparing the two methods in terms of execution times for each tolerance used and execution times for each solution of the same range of accuracy. Elsevier Science 1989 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/115600/1/115600.pdf Suleiman, Mohamed (1989) Solving nonstiff higher order ODEs directly by the direct integration method. Applied Mathematics and Computation, 33 (3). pp. 197-219. ISSN 0096-3003; eISSN: 0096-3003 https://linkinghub.elsevier.com/retrieve/pii/0096300389900519 10.1016/0096-3003(89)90051-9 |
| spellingShingle | Suleiman, Mohamed Solving nonstiff higher order ODEs directly by the direct integration method |
| title | Solving nonstiff higher order ODEs directly by the direct integration method |
| title_full | Solving nonstiff higher order ODEs directly by the direct integration method |
| title_fullStr | Solving nonstiff higher order ODEs directly by the direct integration method |
| title_full_unstemmed | Solving nonstiff higher order ODEs directly by the direct integration method |
| title_short | Solving nonstiff higher order ODEs directly by the direct integration method |
| title_sort | solving nonstiff higher order odes directly by the direct integration method |
| url | http://psasir.upm.edu.my/id/eprint/115600/ http://psasir.upm.edu.my/id/eprint/115600/ http://psasir.upm.edu.my/id/eprint/115600/ http://psasir.upm.edu.my/id/eprint/115600/1/115600.pdf |