A wavelet collocation method for boundary integral equations of the modified Helmholtz equation

摘要

A wavelet collocation method is to proposed for solving the linear boundary integral equations reformulated from the modified Helmholtz equation with Robin boundary conditions. To deal with the difficulties caused by Robin boundary conditions. We provide an improved version of wavelet collocation method. By employing a matrix compression strategy and augmentation method, we obtain fully discrete system and solve efficiently the resulting systems. At last, we point out that the proposed method employs an optimal convergence order and a nearly linear computational complexity. Numerical experiments are presented to demonstrate its approximation accuracy and computational efficiency.