| 解分数阶Endolymph微分方程的一些技巧 |
| |
| 引用本文： | 尹翠影,刘发旺.解分数阶Endolymph微分方程的一些技巧[J].厦门大学学报(自然科学版),2007,46(2):170-174. |
| |
| 作者姓名： | 尹翠影 刘发旺 |
| |
| 作者单位： | 1. 厦门大学数学科学学院,福建,厦门,361005
2. 澳大利亚昆士兰理工大学数学科学学院,布利斯本,昆士兰4001,澳大利亚 |
| |
| 基金项目： | 国家自然科学基金;澳大利亚国家基金 |
| |
| 摘 要： | 考虑分数阶Endolymph微分方程,证明了其解的存在性与惟一性.利用拉普拉斯变换及其逆变换求出了用格林函数表示分数阶Endolymph微分方程的解析解.作者提出一种计算有效的方法,即预估-校正方法,可求出它的数值解.最后给出了数值例子来说明这个预估-校正方法是模拟分数阶Endolymph微分方程解性态的计算有效的方法.这个数值技巧可以应用于模拟其它分数阶的常微分方程.
|
| 关 键 词： | 分数阶Endolymph微分方程 存在性与惟一性 预估-校正法 |
| 文章编号： | 0438-0479(2007)02-0170-05 |
| 修稿时间： | 02 20 2006 12:00AM |
Some Techniques for Solving the Fractional Differential Equations of Endolymph |
| |
| YIN Cui-ying,LIU Fa-wang.Some Techniques for Solving the Fractional Differential Equations of Endolymph[J].Journal of Xiamen University(Natural Science),2007,46(2):170-174. |
| |
| Authors: | YIN Cui-ying LIU Fa-wang |
| |
| Institution: | 1. School of Mathematical Science, Xiamen University, Xiamen 361005, China ; 2. School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia |
| |
| Abstract: | The fractional differential equations of Endolymph is considered.The existence and uniqueness of solution for the fractional differential equations of Endolymph is proved.Using Laplace and its inverse transformation,the analytical solution of the fractional differential equations of Endolymph is derived by the corresponding Green's function.A computationally effective method,Predictor-Corrector method,is proposed for solving the fractional differential equations of Endolymph for its numerical solutions.Finally,we give some numerical examples to show that the Predictor-Corrector method provides a computational effective method for simulating the behavior of the solution of the fractional differential equations of Endolymph.This numerical technique can be applied to simulate other fractional ordinary differential equations. |
| |
| Keywords: | fractional differential Endolymph equation existence and uniqueness predictor-corrector method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
