| A UNIFORMLY CONVERGENT DIFFERENCE SCHEME FOR THE SINGULAR PERTURBATION PROBLEM OF A HIGH ORDER ELLIPTIC DIFFERENTIAL EQUATION |
| |
| 引用本文： | 刘国庆,苏煜城.A UNIFORMLY CONVERGENT DIFFERENCE SCHEME FOR THE SINGULAR PERTURBATION PROBLEM OF A HIGH ORDER ELLIPTIC DIFFERENTIAL EQUATION[J].应用数学和力学(英文版),1996,17(5):413-421. |
| |
| 作者姓名： | 刘国庆 苏煜城 |
| |
| 作者单位： | Liu Guoqing; Su Yucheng (Nanjing Institute of Chemical Technology，Nanjing 210009，P. R. China (Nanjing University，Nanjing 210008，P. R. China |
| |
| 摘 要： | ＡＵＮＩＦＯＲＭＬＹＣＯＮＶＥＲＧＥＮＴＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＦＯＲＴＨＥＳＩＮＧＵＬＡＲＰＥＲＴＵＲＢＡＴＩＯＮＰＲＯＢＬＥＭＯＦＡＨＩＧＨＯＲＤＥＲＥＬＬＩＰＴＩＣＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮ（刘国庆）（苏煜城）ＡＵＮＩＦＯ...
|
| 收稿时间： | 28 April 1995 |
A uniformly convergent difference scheme for the singular perturbation problem of a high order elliptic differential equation |
| |
| Liu Guoqing,Su Yucheng.A uniformly convergent difference scheme for the singular perturbation problem of a high order elliptic differential equation[J].Applied Mathematics and Mechanics(English Edition),1996,17(5):413-421. |
| |
| Authors: | Liu Guoqing Su Yucheng |
| |
| Institution: | (1) Nanjing Institute of Chemical Technology, 210009 Nanjing, P. R. China;(2) Nanjing University, 210008 Nanjing, P. R. China |
| |
| Abstract: | In this paper, we first consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation, establish the priori estimation of the solution of the continuous problem. Then, we present an exponential fitted difference scheme and discuss the solution properties of the difference equations. Finally, the uniform convergence of this scheme with respect to the small parameter in the discrete energy norm, is proved. |
| |
| Keywords: | elliptic singular perturbation difference scheme uniform convergence |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
