| A UNIFORMLY DIFFERENCE SCHEME OF SINGULAR PERTURBATION PROBLEM FOR A SEMILINEAR ORDINARY DIFFERENTIAL EQUATION WITH MIXED BOUNDARY VALUE CONDITION |
| |
| 引用本文： | 白清源,林鹏程. A UNIFORMLY DIFFERENCE SCHEME OF SINGULAR PERTURBATION PROBLEM FOR A SEMILINEAR ORDINARY DIFFERENTIAL EQUATION WITH MIXED BOUNDARY VALUE CONDITION[J]. 应用数学和力学(英文版), 1996, 17(2): 187-195. DOI: 10.1007/BF00122315 |
| |
| 作者姓名： | 白清源 林鹏程 |
| |
| 作者单位： | Fuzhou University,Fuzhou 350002,P. R. China |
| |
| 摘 要： | ＡＵＮＩＦＯＲＭＬＹＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＯＦＳＩＮＧＵＬＡＲＰＥＲＴＵＲＢＡＴＩＯＮＰＲＯＢＬＥＭＦＯＲＡＳＥＭＩＬＩＮＥＡＲＯＲＤＩＮＡＲＹＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＷＩＴＨＭＩＸＥＤＢＯＵＮＤＡＲＹＶＡＬＵＥＣＯＮＤＩＴ...
|
| 收稿时间： | 1993-07-04 |
A uniformly difference scheme of singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition |
| |
| Bai Qingyuan,Lin Pengcheng. A uniformly difference scheme of singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition[J]. Applied Mathematics and Mechanics(English Edition), 1996, 17(2): 187-195. DOI: 10.1007/BF00122315 |
| |
| Authors: | Bai Qingyuan Lin Pengcheng |
| |
| Affiliation: | (1) Fuzhou University, 350002 Fuzhou, P. R. China |
| |
| Abstract: | In the paper, the method of separating singularity is applied to study the uniformly difference scheme of a singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition. The uniform convergence on small parameter  of order one for an Il'in type difference scheme constructed is proved. At the end of the paper, a numerical example is given. The computing results coincide with the theoretical analysis.Project supported by the Natural Science Foundation of China and, Fujian |
| |
| Keywords: | singular perturbation problem difference scheme uniform convergence mixed boundary value condition semilinear ordinary differential equation |
| 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)》下载全文 |
