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

共 50 条

[1] An exponential B-spline collocation method for the fractional sub-diffusion equation
Xiaogang Zhu
Yufeng Nie
Zhanbin Yuan
Jungang Wang
Zongze Yang
Advances in Difference Equations, 2017
[2] An exponential B-spline collocation method for the fractional sub-diffusion equation
Zhu, Xiaogang
Nie, Yufeng
Yuan, Zhanbin
Wang, Jungang
Yang, Zongze
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[3] A cubic trigonometric B-spline collocation approach for the fractional sub-diffusion equations
Yaseen, Muhammad
Abbas, Muhammad
Ismail, Ahmad Izani
Nazir, Tahir
APPLIED MATHEMATICS AND COMPUTATION, 2017, 293 : 311 - 319
[4] An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation
Muhammad Yaseen
Muhammad Abbas
Applied Mathematics-A Journal of Chinese Universities, 2020, 35 : 359 - 378
[5] An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation
Muhammad Yaseen
Muhammad Abbas
Applied Mathematics:A Journal of Chinese Universities, 2020, 35 (03) : 359 - 378
[6] An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation
Yaseen, Muhammad
Abbas, Muhammad
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2020, 35 (03) : 359 - 378
[7] A modified trigonometric cubic B-spline collocation technique for solving the time-fractional diffusion equation
Dhiman, Neeraj
Huntul, M. J.
Tamsir, Mohammad
ENGINEERING COMPUTATIONS, 2021, 38 (07) : 2921 - 2936
[8] Cubic B-spline collocation method for solving time fractional gas dynamics equation
Esen, A.
Tasbozan, O.
TBILISI MATHEMATICAL JOURNAL, 2015, 8 (02): : 221 - 231
[9] Redefine trigonometric cubic B-spline collocation scheme for solving convection-diffusion equation
Rawat, Ashish Kumar
Dhiman, Neeraj
Chauhan, Anand
Gupta, Saumya
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2024, 19 (03) : 244 - 255
[10] A high-order B-spline collocation scheme for solving a nonhomogeneous time-fractional diffusion equation
Roul, Pradip
Goura, V. M. K. Prasad
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (01) : 546 - 567

← 1 2 3 4 5 →