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

[41] Numerical Solution of Time Fractional Burgers Equation by Cubic B-spline Finite Elements
Esen, Alaattin
Tasbozan, Orkun
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 1325 - 1337
[42] DEVELOPMENT AND ANALYSIS OF NEW APPROXIMATION OF EXTENDED CUBIC B-SPLINE TO THE NONLINEAR TIME FRACTIONAL KLEIN-GORDON EQUATION
Akram, Tayyaba
Abbas, Muhammad
Riaz, Muhammad Bilal
Ismail, Ahmad Izani
Ali, Norhashidah Mohd
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (08)
[43] Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method
Kutluay, Selcuk
Ucar, Yusuf
Yagmurlu, N. Murat
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (04) : 1603 - 1614
[44] The Exponential Cubic B-Spline Collocation Method for the Kuramoto-Sivashinsky Equation
Ersoy, Ozlem
Dag, Idiris
FILOMAT, 2016, 30 (03) : 853 - 861
[45] Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method
Selcuk Kutluay
Yusuf Ucar
N. Murat Yagmurlu
Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 1603 - 1614
[46] Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method
Sharifi, Shokofeh
Rashidinia, Jalil
APPLIED MATHEMATICS AND COMPUTATION, 2016, 281 : 28 - 38
[47] NUMERICAL SOLUTION OF FRACTIONAL RELAXATION-OSCILLATION EQUATION USING CUBIC B-SPLINE WAVELET COLLOCATION METHOD
Chandel, Raghvendra S.
Singh, Amardeep
Chouhan, Devendra
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, (36): : 399 - 414
[48] Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems
Sayevand, K.
Yazdani, A.
Arjang, F.
JOURNAL OF VIBRATION AND CONTROL, 2016, 22 (09) : 2173 - 2186
[49] Collocation Approach Based on an Extended Cubic B-Spline for a Second-Order Volterra Partial Integrodifferential Equation
George, Reny
Yaseen, Muhammad
Khan, Sana
JOURNAL OF FUNCTION SPACES, 2022, 2022
[50] Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation
Qiao, Leijie
Xu, Da
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 95 (08) : 1478 - 1493

← 1 2 3 4 5 →