[1]杜瑞连,梁宗旗.右侧Caputo分数阶导数的L2－1插值逼近[J].集美大学学报(自然科学版),2017,22(4):68-74.
DU Ruilian,LIANG Zongqi.Interpolation Approximation of the Right Side of the Caputo Fractional Derivative[J].Journal of Jimei University,2017,22(4):68-74.
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右侧Caputo分数阶导数的L2－1插值逼近(PDF)
DU Ruilian,LIANG Zongqi.Interpolation Approximation of the Right Side of the Caputo Fractional Derivative[J].Journal of Jimei University,2017,22(4):68-74.
《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
- 第22卷
- 期数:
- 2017年第4期
- 页码:
- 68-74
- 栏目:
- 数理科学与信息工程
- 出版日期:
- 2017-07-28
文章信息/Info
- Title:
- Interpolation Approximation of the Right Side of the Caputo Fractional Derivative
- Author(s):
- DU Ruilian; LIANG Zongqi
- (School of Science,Jimei University,Xiamen 361021,China)
- 关键词:
- 右侧Caputo导数; L1插值; L2插值; 收敛阶
- 分类号:
- -
- DOI:
- -
- 文献标志码:
- A
- 摘要:
- 对右侧α(0＜α＜1)阶Caputo分数阶导数在t=tk处进行了差分离散，分别在区间［tj－1,tj］(j∈［k+1,N－1］)上用L2插值,在区间［tN－1,tN］上用L1插值,构造了L2－1差分格式,给出了相关的系数性质,并证明了其收敛阶为O(Δt3－α)。
- Abstract:
- The difference of the right side of the Caputo fractional derivation at t=tk was discretized by using L2 interpolation on interval［tj－1,tj］(j∈［k+1,N－1］) and L1 interpolation on interval［tN－1,tN］respectively.The L2－1 difference scheme was constructed,and the properties of the related coefficient were given,and it was proved that the convergence order was O(Δt3－α).
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更新日期/Last Update:
2017-09-26