Numerical Solution of Time Fractional Burgers Equation by Cubic B-spline Finite Elements

被引：68

作者：

Esen, Alaattin ^{[1
]}

Tasbozan, Orkun ^{[2
]}

机构：

[1] Inonu Univ, Fac Sci & Art, Dept Math, TR-44280 Malatya, Turkey

[2] Mustafa Kemal Univ, Fac Sci & Art, Dept Math, TR-31000 Antakya, Turkey

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 03期

关键词：

Finite element method; collocation method; time fractional Burgers equation; cubic B-Spline; DIFFERENTIAL-EQUATIONS; COLLOCATION SOLUTION;

D O I：

10.1007/s00009-015-0555-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some numerical examples which support numerical results for the time fractional Burgers equation with various boundary and initial conditions obtained by collocation method using cubic B-spline base functions. The aim of this paper is to show that the finite element method based on the cubic B-spline collocation method approach is also suitable for the treatment of the fractional differential equations. The results of numerical experiments are compared with analytical solution to confirm the accuracy and efficiency of the presented scheme.

引用

页码：1325 / 1337

页数：13

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