| 一类变系数微分代数方程的数值解 |
| |
| 引用本文： | 任磊,王文武.一类变系数微分代数方程的数值解[J].江西师范大学学报(自然科学版),2014,0(1):54-57. |
| |
| 作者姓名： | 任磊 王文武 |
| |
| 作者单位： | 商丘师范学院数学系,河南商丘,476000 |
| |
| 基金项目： | 河南省科技厅(132300410391)资助项目 |
| |
| 摘 要： | 讨论了变系数微分代数方程的数值解.首先给出变系数微分代数方程的系数矩阵Drazin逆的求法,然后研究其差分格式上的数值解,最后利用Drazin逆的方法和隐式RK方法对一类变系数微分代数方程进行了研究,并给出了相应的数值试验,结果表明Drazin逆的求解效果较好,但求解过程比较复杂.
|
| 关 键 词： | 变系数微分代数方程 Drazin逆 有限算法 Radau ⅡA |
The Numerical Treatment of Time Varying Differential Algebraic Equations |
| |
| REN Lei,WANG Wen-wu.The Numerical Treatment of Time Varying Differential Algebraic Equations[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2014,0(1):54-57. |
| |
| Authors: | REN Lei WANG Wen-wu |
| |
| Abstract: | The rationalized Haar functions are used to solve the solution of fractional order Fredholm integral equation of the second kind.The integral equation can be reduced to a system of algebraic equations by using rationalized Haar wavelet and collection method.Finally,the numerical solution of fractional integral equation with exact solution and the numerical solutions using Haar wavelet are compared.The result shows that the algorithm has high accuracy. |
| |
| Keywords: | time varying differential algebraic equations Drazin inverse infinite algorithm Radau ⅡA |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《江西师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《江西师范大学学报(自然科学版)》下载免费的PDF全文 |
