| Article ID: | iaor20125509 |
| Volume: | 237 |
| Issue: | 1 |
| Start Page Number: | 215 |
| End Page Number: | 222 |
| Publication Date: | Jan 2013 |
| Journal: | Journal of Computational and Applied Mathematics |
| Authors: | Zhang Deyue, Ma Fuming, Zheng Enxi |
| Keywords: | response surface, differential equations |
This paper is concerned with the Cauchy problem connected with the Helmholtz equation. On the basis of the denseness of Herglotz wavefunctions, we propose a numerical method for obtaining an approximate solution to the problem. We analyze the convergence and stability with a suitable choice of regularization method. Numerical experiments are also presented to show the effectiveness of our method.