| 一类二阶拟线性奇异摄动差分方程的数值解 |
| |
| 引用本文： | 汪静,张伟江.一类二阶拟线性奇异摄动差分方程的数值解[J].上海交通大学学报,1995,29(3):76-81. |
| |
| 作者姓名： | 汪静 张伟江 |
| |
| 基金项目： | 国家自然科学基金,国家攀登计划经络的研究项目 |
| |
| 摘 要： | 本文考虑一类拟线性奇异摄动差分方程的数值解法，主要思想是用退化方程的解及边界层校正解之和去渐近近似原方程解，并且矩阵的摄动理论及不动点原理证明了在一定条件下其误差是Ｏ（ε１－１／ｑ）量级，最后给出了数值例子。
|
| 关 键 词： | 拟线性 退化方程 误差 奇摄动差分方程 数值解 |
Numerical Solutions for a Class of Second-order Quasilinear Singularly Perturbed Difference Equations |
| |
| Wang Jing, Zhang Weijiang.Numerical Solutions for a Class of Second-order Quasilinear Singularly Perturbed Difference Equations[J].Journal of Shanghai Jiaotong University,1995,29(3):76-81. |
| |
| Authors: | Wang Jing Zhang Weijiang |
| |
| Institution: | Wang Jing; Zhang Weijiang |
| |
| Abstract: | In this paper we consider the singularly perturbed boundary value problems for a class of quasilinear difference equations. We use the sum of the solution of the degenerated equation and boundary correcter to approach the accurate solution. We also use the perturbed theory of Matrix and principle of invariant points to prove that the error is order under certain conditions. Finally, a numerical example is illustrated. |
| |
| Keywords: | quasilinear singularly perturbed difference equation degenerated equation error |
| 本文献已被 CNKI 维普 等数据库收录！ |
