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Nonclassical pseudospectral method for the solution of brachistochrone problem |
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| Authors: | A Alipanah M Razzaghi M Dehghan |
| Institution: | aDepartment of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran bDepartment of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, United States cDepartment of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran |
| 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. |
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