| 分数阶积分微分方程的近似解 |
| |
| 引用本文： | 黄力[],李显方[].分数阶积分微分方程的近似解[J].数学理论与应用,2007,27(1):88-91. |
| |
| 作者姓名： | 黄力[] 李显方[] |
| |
| 作者单位： | 湖南师范大学数学与计算机科学学院 长沙410081(黄力)，中南大学土建学院力学与传感技术研究所 长沙410083(李显方) |
| |
| 摘 要： | 本文给出了分数阶积分微分方程的一种新的解法.利用未知函数的泰功多项式展开将分数阶积分微分方程近拟转化为一个涉及未知函数及其n阶导数的线性方程组.数值例子表明该方法的有效性.
|
| 关 键 词： | 泰勒多项式 分数阶 积分微分方程 |
| 文章编号： | 24259715 |
| 修稿时间： | 10 15 2006 12:00AM |
Approximate solution of fractional order integro-differential equations |
| |
| Huang Li ,Li Xianfang.Approximate solution of fractional order integro-differential equations[J].Mathematical Theory and Applications,2007,27(1):88-91. |
| |
| Authors: | Huang Li Li Xianfang |
| |
| Institution: | 1.College of Mathematics and Computer Sclence,Hunan Normal University,Changsha.410081;2.School of Civil Engineering and Archltecture,Central South University.Changsha,410083 |
| |
| Abstract: | A novel method for solving fractional order integro-differential equations is presented in this paper.Based on Taylor's expandsion of the unknown function,the fractional order integro-differential equation can be converted to a system of linear algebraic equations for the unknwon function and its derivatives up to n order.The effectivenss of this method is illustrated by several examples. |
| |
| Keywords: | taylor's polynomials fractional order integro-differential equations |
| 本文献已被 CNKI 维普 等数据库收录！ |
