Trigonometric wavelet method for some elliptic boundary value problems |
| |
| Authors: | Zhengduo Shan Qikui Du |
| |
| Institution: | a School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, PR China
b School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, PR China |
| |
| Abstract: | In this paper, we apply trigonometric wavelet method to investigate the numerical solution of elliptic boundary value problem in an exterior unit disk. The simple computation formulae of the entries in the stiffness matrix are obtained. It shows that we only need to compute 2(j2+1) elements of one 2j+2×2j+2 stiffness matrix. Moreover, the error estimates of the approximation solutions are given and some test examples are presented. |
| |
| Keywords: | Elliptic problem Natural boundary reduction (NBR) Natural integral equation (NIE) Hermite trigonometric wavelet Exterior problem |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
