Solving brachistochrone problem via scaling functions of Daubechies wavelets
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_CMDE-9-2_013
Index date: 4 February 2023
Solving brachistochrone problem via scaling functions of Daubechies wavelets abstract
In this paper, we proposed an effective method based on the scaling function of Daubechies wavelets for the solution of the brachistochrone problem. An analytic technique for solving the integral of Daubechies scaling functions on dyadic intervals is investigated and these integrals are used to reduce the brachistochrone problem into algebraic equations. The error estimate for the brachistochrone problem is proposed and the numerical results are given to verify the effectiveness of our method.
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Solving brachistochrone problem via scaling functions of Daubechies wavelets authors
Azad Kasnazani
Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran.
Amjad AliPanah
Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran.