Nonclassical pseudospectral method for the solution of brachistochrone problem

A. Alipanah, M. Razzaghi and M. Dehghan

Chaos, Solitons & Fractals, 2007, vol. 34, issue 5, 1622-1628

Abstract: In this paper, nonclassical pseudospectral method is proposed for solving the classic brachistochrone problem. The brachistochrone problem is first formulated as a nonlinear optimal control problem. Properties of nonclassical pseudospectral method are presented, these properties are then utilized to reduce the computation of brachistochrone problem to the solution of algebraic equations. Using this method, the solution to the brachistochrone problem is compared with those in the literature.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:5:p:1622-1628

DOI: 10.1016/j.chaos.2006.04.071

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