Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (5): 635-644.doi: https://doi.org/10.1007/s10483-011-1445-7
P. MAITI1, P.RAKSHIT2, S. BANERJEA1
P. MAITI1, P.RAKSHIT2, S. BANERJEA1
摘要: The present paper is concerned with scattering of water waves from a vertical plate, modeled as an elastic plate, submerged in deep water covered with a thin uniform sheet of ice. The problem is formulated in terms of a hypersingular integral equation by a suitable application of Green’s integral theorem in terms of difference of potential functions across the barrier. This integral equation is solved by a collocation method using a finite series involving Chebyshev polynomials. Reflection and transmission coefficients are obtained numerically and presented graphically for various values of the wave number and ice-cover parameter.
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