On numerical contour integral method for fractional diffusion equations with variable coefficients

被引：5

作者：

Vong, Seakweng ^{[1
]}

Lyu, Pin ^{[1
]}

机构：

[1] Univ Macau, Dept Math, Ave Univ, Macau, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 64卷

关键词：

Fractional diffusion equations; Variable coefficients; Numerical contour integral; ERROR ANALYSIS;

D O I：

10.1016/j.aml.2016.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we study numerical contour integral method for fractional diffusion equations with variable coefficients. We find that the method can be applied if the diffusion coefficients and order of differentiation satisfy a certain condition. This work extends a recent result. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：137 / 142

页数：6

共 50 条

[21] COEFFICIENTS IDENTIFICATION IN FRACTIONAL DIFFUSION MODELS BY THE METHOD OF TIME INTEGRAL CHARACTERISTICS
Lukashchuk, S. Yu.
BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2016, 9 (03): : 105 - 118
[22] Approximations of the Fractional Integral and Numerical Solutions of Fractional Integral Equations
Yuri Dimitrov
Communications on Applied Mathematics and Computation, 2021, 3 : 545 - 569
[23] Approximations of the Fractional Integral and Numerical Solutions of Fractional Integral Equations
Dimitrov, Yuri
COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2021, 3 (03) : 545 - 569
[24] An iterative numerical method for fractional integral equations of the second kind
Micula, Sanda
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 : 124 - 133
[25] Point Integral Method for Elliptic Equations with Variable Coefficients on Point Cloud
Li, Zhen
Shi, Zuoqiang
Sun, Jian
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 26 (02) : 506 - 530
[26] THE ENCLOSURE METHOD FOR THE DETECTION OF VARIABLE ORDER IN FRACTIONAL DIFFUSION EQUATIONS
Ikehata, Masaru
Kian, Yavar
INVERSE PROBLEMS AND IMAGING, 2023, 17 (01) : 180 - 202
[27] Numerical Solutions of Fractional Differential Equations with Variable Coefficients by Taylor Basis Functions
Kammanee, Athassawat
KYUNGPOOK MATHEMATICAL JOURNAL, 2021, 61 (02): : 383 - 393
[28] A generalized fractional sub-equation method for fractional differential equations with variable coefficients
Tang, Bo
He, Yinnian
Wei, Leilei
Zhang, Xindong
PHYSICS LETTERS A, 2012, 376 (38-39) : 2588 - 2590
[29] A numerical method for solving variable-order fractional diffusion equations using fractional-order Taylor wavelets
Vo Thieu, N.
Razzaghi, Mohsen
Toan Phan Thanh
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (03) : 2668 - 2686
[30] Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients
Elbeleze, Asma Ali
Kilicman, Adem
Taib, Bachok M.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014

← 1 2 3 4 5 →