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P-Stability of Linear Multistep Methods for Delay Retarded Differential Equations with Several Delays | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 2, Volume 8, Issue 2, 2011, Pages 21-33 PDF (426.97 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2011.163638 | ||
| Authors | ||
| Abbas Y. Al-Bayati1; Ann J. Al-Sawoor2; Reyadh S. Naoum3 | ||
| 1College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| 2College of Computer Sciences and Mathematics University of Mosul, Iraq | ||
| 3College of Sciences Baghdad University Iraq | ||
| Abstract | ||
| 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). | ||
| Keywords | ||
| GP-Stability; Linear Multistep Methods; Delay Retarded Differential Equations | ||
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