Numerical solution of fractional differential equations by using fractional B-spline

被引：20

作者：

Jafari, Hossein ^{[1
,3
]}

Khalique, Chaudry M. ^{[1
]}

Ramezani, Mohammad ^{[2
]}

Tajadodi, Haleh ^{[3
]}

机构：

[1] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa

[2] Imam Khomeini Int, Dept Math, Qazvin, Iran

[3] Univ Mazandaran, Dept Math, Babol Sar 4741695447, Iran

来源：

CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2013年 / 11卷 / 10期

关键词：

fractional B-spline; fractional differential equations; collocation method; Caputo derivative; VARIATIONAL ITERATION METHOD; CALCULUS;

D O I：

10.2478/s11534-013-0222-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we present fractional B-spline collocation method for the numerical solution of fractional differential equations. We consider this method for solving linear fractional differential equations which involve Caputo-type fractional derivatives. The numerical results demonstrate that the method is efficient and quite accurate and it requires relatively less computational work. For this reason one can conclude that this method has advantage on other methods and hence demonstrates the importance of this work.

引用

页码：1372 / 1376

页数：5

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