Abstract :
In this paper, we investigate the numerical solution of the integral equation of the second
kind reduced by acoustic scattering in shallow oceans with Dirichlet condition. Based on
analyzing the singularity of the truncating kernel with a sum of infinite series, using our
trigonometric interpolatory wavelets and collocation method, we obtain the numerical
solution which possesses a fast convergence rate like o(2−j ). Moreover, the entries of
the stiffness matrix can be obtained by FFT, which lead the computational complexity to
decrease obviously.
