An Extended Cubic B-spline Collocation Scheme for Time Fractional Sub-diffusion Equation

被引：13
|
作者：
Akram, Tayyaba [1 ]
Abbas, Muhammad [2 ]
Ismail, Ahmad Izani [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia
[2] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH 2018): INNOVATIVE TECHNOLOGIES FOR MATHEMATICS & MATHEMATICS FOR TECHNOLOGICAL INNOVATION | 2019年 / 2184卷
关键词：
DIFFERENCE METHOD;
D O I：
10.1063/1.5136449
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an extended cubic B-spline scheme is developed to solve the time fractional sub-diffusion equation. The time fractional derivative is represented using Caputo's formula and the discretization utilizes the theta-weighted scheme. The scheme is unconditionally stable and the convergence is shown to be of second order. The results of numerical experiments indicate the effectiveness of the proposed method.
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收藏
页数：14
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