Application of dynamic programming to the brachistochrone problem
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(1967)
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© 1967 Ministry of Technology, Royal Aircraft Establishment
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Publication Year
1967
Copyright
© 1967 Ministry of Technology, Royal Aircraft Establishment
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Abstract
The classical brachistochrone problem is formulated in dynamic programming terms and the resulting functi onal equation solved. The equation is first solved over a rectangular mesh and various methods of increasing the accuracy of the result and reducing the computer storage space required are considered. A good approximation to the true solution is obtained even though the numerical values chosen involve a singularity.