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Legendre-tau approximations for functional differential equationsThe numerical approximation of solutions to linear retarded functional differential equations are considered using the so-called Legendre-tau method. The functional differential equation is first reformulated as a partial differential equation with a nonlocal boundary condition involving time-differentiation. The approximate solution is then represented as a truncated Legendre series with time-varying coefficients which satisfy a certain system of ordinary differential equations. The method is very easy to code and yields very accurate approximations. Convergence is established, various numerical examples are presented, and comparison between the latter and cubic spline approximation is made.
Document ID
19860059247
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Ito, K. (Brown University Providence, RI, United States)
Teglas, R. (Vermont, University Burlington, United States)
Date Acquired
August 12, 2013
Publication Date
July 1, 1986
Publication Information
Publication: SIAM Journal on Control and Optimization
Volume: 24
ISSN: 0363-0129
Subject Category
NUMERICAL ANALYSIS
Funding Number(s)
CONTRACT_GRANT: NAS1-17070
Distribution Limits
Public
Copyright
Other