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A Fast Collocation Method for Eigen-Problems of

โœ Scribed by Zhongying Chen; Gnaneshwar Nelakanti; Yuesheng Xu; Yongdong Zhang

Publisher
Springer US
Year
2009
Tongue
English
Weight
526 KB
Volume
41
Category
Article
ISSN
0885-7474

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## This paper introduces a numerical technique for solving the classic brachistochrone problem. The brachistochrone problem is first formulated as a nonlinear optimal control problem. Using the Legendre-Gauss-Lobatto nodes we construct the Nth degree polynomial approximation of the state and the c