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Integration Processes of Delay Differential Equation Based on Modified Laguerre Functions
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-23
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We propose long-time convergent numerical integration processes for delay differential equations.
We first construct an integration process based on modified Laguerre functions.
Then we establish its global convergence in certain weighted Sobolev space.
The proposed numerical integration processes can also be used for systems of delay differential equations.
We also developed a technique for refinement of modified Laguerre-Radau interpolations.
Lastly, numerical results demonstrate the spectral accuracy of the proposed method and coincide well with analysis.
American Psychological Association (APA)
Sun, Yeguo. 2012. Integration Processes of Delay Differential Equation Based on Modified Laguerre Functions. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993901
Modern Language Association (MLA)
Sun, Yeguo. Integration Processes of Delay Differential Equation Based on Modified Laguerre Functions. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-993901
American Medical Association (AMA)
Sun, Yeguo. Integration Processes of Delay Differential Equation Based on Modified Laguerre Functions. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993901
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993901