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.

引用

页数：14

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