Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53587#.VMnhhyzQrzE Author(s) Mingdong Lv 1 , Hui Li 1 , Huilong Ren 1 , Xiaobo Chen 2 Affiliation(s) 1 College of Shipbuilding Engineering, Harbin Engineering University, Harbin, China . 2 Bureau Veritas Research Department, Singapore City, Singapore . ABSTRACT We consider a vertical circular cylinder on which the vertical variation of water diffraction waves is to be represented by a series of Laguerre functions using Laguerre Polynomials . The variation is assumed to be of the form with the integer n depending on the radius of cylinder. Generally, the integer n increases for a cylinder of larger diameter. The usual approximation by Laguerre functions is extended by introducing a scale parameter. The convergence of Laguerre series is then dependent on the value of the scale parameter s. The analytical and numerical computations of series coefficients ar...
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