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dc.contributor.author尹翠影
dc.contributor.author刘发旺
dc.date.accessioned2017-11-14T02:50:55Z
dc.date.available2017-11-14T02:50:55Z
dc.date.issued2007-03-15
dc.identifier.citation厦门大学学报(自然科学版),2007,(02):28-32
dc.identifier.issn0438-0479
dc.identifier.otherXDZK200702005
dc.identifier.urihttps://dspace.xmu.edu.cn/handle/2288/154735
dc.description.abstract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.
dc.description.abstractThe 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.
dc.description.sponsorship国家自然科学基金(10271098);; 澳大利亚国家基金(LP0348653)资助
dc.language.isozh_CN
dc.subject分数阶Endolymph微分方程
dc.subject存在性与惟一性
dc.subject预估-校正法
dc.subjectfractional differential Endolymph equation
dc.subjectexistence and uniqueness
dc.subjectpredictor-corrector method
dc.title解分数阶Endolymph微分方程的一些技巧
dc.title.alternativeSome Techniques for Solving the Fractional Differential Equations of Endolymph
dc.typeArticle


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