Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637748 | Journal of Computational and Applied Mathematics | 2017 | 11 Pages |
Abstract
This paper is concerned with the Cauchy problem connected with the Helmholtz equation. We investigate the denseness of Fourier–Bessel functions and propose a numerical method for approximating the solution to the problem. The convergence and stability are analyzed with truncated singular value decomposition method. Numerical experiments are also presented to show the effectiveness of our method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Minghui Liu, Deyue Zhang, Xu Zhou, Feng Liu,