Operational method for solving fractional differential equations using cubic B-spline approximation

被引：7
|
作者：
Li, Xinxiu [1 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Sch Nat Sci, Nanjing 210046, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2014年 / 91卷 / 12期
关键词：
cubic B-spline function; operational matrix of fractional derivative; multi-resolution analysis; interpolating condition; Caputo derivative; 41A10; 35C11; 41A15; NUMERICAL-SOLUTION; MATRICES; SCHEME; DIFFUSION; CALCULUS;
D O I：
10.1080/00207160.2014.884792
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we construct the cubic B-spline operational matrix of fractional derivative in the Caputo sense, and use it to solve fractional differential equation. The main characteristic of the approach is that it overcomes the computational difficulty induced by the memory effect. There is no need to save and call all historic information, which can save memory space and reduce computational complexity. Numerical results demonstrate the validity and applicability of the method to solve fractional differential equation. The results from this method are good in terms of accuracy.
引用
收藏
页码：2584 / 2602
页数：19
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