Summary
A method for obtaining the numerical solution of first-kind integral equations with the Hankel-function kernel H (1) 0(k|x t|) is described in relation to two water-wave diffraction problems. The principal feature is the implementation of a new technique for transforming the given equations into second-kind integral equations, which have continuous kernels and from which numerical approximations can readily be determined.
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Porter, D., Chu, K.W.E. The solution of two wave-diffraction problems. J Eng Math 20, 63–72 (1986). https://doi.org/10.1007/BF00039323
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DOI: https://doi.org/10.1007/BF00039323