P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several Delays
This paper modifies the numerical solution of initial value problems of the Delay Differential Equations (DDEs) by making it deals with Retarded Differential Equations (RDEs) with several delays where are positive constants, and denote given vector-valued functions. The stability behaviors of...
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| Format: | Article |
| Language: | English |
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Mosul University
2011-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163638_9a0dfa4204a306f0b8f58a719b9e3e40.pdf |
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| _version_ | 1850195418258866176 |
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| author | Abbas Al-Bayati Ann Al-Sawoor Reyadh Naoum |
| author_facet | Abbas Al-Bayati Ann Al-Sawoor Reyadh Naoum |
| author_sort | Abbas Al-Bayati |
| collection | DOAJ |
| description | This paper modifies the numerical solution of initial value problems of the Delay Differential Equations (DDEs) by making it deals with Retarded Differential Equations (RDEs) with several delays
where are positive constants, and denote given vector-valued functions. The stability behaviors of linear multistep method for RDEs is studied and it is proved that the linear multistep method is GP-stable if it is A-stable for Ordinary Differential Equations (ODEs). |
| format | Article |
| id | doaj-art-847aeca041244ddfa222286f45ddd6b2 |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2011-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-847aeca041244ddfa222286f45ddd6b22025-08-20T02:13:45ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902011-12-0182213310.33899/csmj.2011.163638163638P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several DelaysAbbas Al-Bayati0Ann Al-Sawoor1Reyadh Naoum2College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Computer Sciences and Mathematics University of Mosul, IraqCollege of Sciences Baghdad University IraqThis paper modifies the numerical solution of initial value problems of the Delay Differential Equations (DDEs) by making it deals with Retarded Differential Equations (RDEs) with several delays where are positive constants, and denote given vector-valued functions. The stability behaviors of linear multistep method for RDEs is studied and it is proved that the linear multistep method is GP-stable if it is A-stable for Ordinary Differential Equations (ODEs).https://csmj.mosuljournals.com/article_163638_9a0dfa4204a306f0b8f58a719b9e3e40.pdfgp-stabilitylinear multistep methodsdelay retarded differential equations |
| spellingShingle | Abbas Al-Bayati Ann Al-Sawoor Reyadh Naoum P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several Delays Al-Rafidain Journal of Computer Sciences and Mathematics gp-stability linear multistep methods delay retarded differential equations |
| title | P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several Delays |
| title_full | P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several Delays |
| title_fullStr | P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several Delays |
| title_full_unstemmed | P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several Delays |
| title_short | P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several Delays |
| title_sort | p stability of linear multistep methods for delay retarded differential equations with several delays |
| topic | gp-stability linear multistep methods delay retarded differential equations |
| url | https://csmj.mosuljournals.com/article_163638_9a0dfa4204a306f0b8f58a719b9e3e40.pdf |
| work_keys_str_mv | AT abbasalbayati pstabilityoflinearmultistepmethodsfordelayretardeddifferentialequationswithseveraldelays AT annalsawoor pstabilityoflinearmultistepmethodsfordelayretardeddifferentialequationswithseveraldelays AT reyadhnaoum pstabilityoflinearmultistepmethodsfordelayretardeddifferentialequationswithseveraldelays |