LOCALLY ONE-DIMENSIONAL DIFFERENCE SCHEMES FOR THE FRACTIONAL DIFFUSION EQUATION WITH A FRACTIONAL DERIVATIVE IN LOWEST TERMS

被引：0

作者：

Bazzaev, A. K. ^{[1
,2
]}

Tsopanov, I. D. ^{[2
]}

机构：

[1] North Ossetia State Univ, Vatutina St 46, Vladikavkaz 362025, Russia

[2] Vladikavkaz Inst Management, Vladikavkaz 362025, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷

关键词：

locally one-dimensional difference scheme; slow diffusion equation; Caputo fractional derivative; maximum principle; stability and convergence of difference schemes; Robin boundary conditions;

D O I：

10.17377/semi.2015.12.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a fractional diffusion equation with a fractional derivative in lowest terms with Robin boundary conditions, locally one-dimensional difference schemes are considered and their stability and convergence are proved.

引用

页码：80 / 91

页数：12

共 50 条

[21] One-dimensional dispersion phenomena in terms of fractional media
W. Sumelka
R. Zaera
J. Fernández-Sáez
The European Physical Journal Plus, 131
[22] Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
Wang, Zhibo
Vong, Seakweng
JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 277 : 1 - 15
[23] Unique Continuation Principle for the One-Dimensional Time-Fractional Diffusion Equation
Zhiyuan Li
Masahiro Yamamoto
Fractional Calculus and Applied Analysis, 2019, 22 : 644 - 657
[24] UNIQUE CONTINUATION PRINCIPLE FOR THE ONE-DIMENSIONAL TIME-FRACTIONAL DIFFUSION EQUATION
Li, Zhiyuan
Yamamoto, Masahiro
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (03) : 644 - 657
[25] FRACTIONAL DIFFUSION EQUATION ON FRACTALS - ONE-DIMENSIONAL CASE AND ASYMPTOTIC-BEHAVIOR
GIONA, M
ROMAN, HE
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (08): : 2093 - 2105
[26] An Efficient Technique for One-Dimensional Fractional Diffusion Equation Model for Cancer Tumor
Archana, Daasara Keshavamurthy
Prakasha, Doddabhadrappla Gowda
Veeresha, Pundikala
Nisar, Kottakkaran Sooppy
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2024, 141 (02): : 1347 - 1363
[27] Approximate solutions of one-dimensional systems with fractional derivative
Ferrari, A.
Gadella, M.
Lara, L. P.
Santillan Marcus, E.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2020, 31 (07):
[28] Two Novel Difference Schemes for the One-Dimensional Multi-Term Time Fractional Oldroyd-B Equation
Guan Z.
International Journal of Applied and Computational Mathematics, 2024, 10 (4)
[29] Compact finite difference schemes for the backward fractional Feynman-Kac equation with fractional substantial derivative
Hu, Jiahui
Wang, Jungang
Nie, Yufeng
Luo, Yanwei
CHINESE PHYSICS B, 2019, 28 (10)
[30] Lattice fractional diffusion equation in terms of a Riesz-Caputo difference
Wu, Guo-Cheng
Baleanu, Dumitru
Deng, Zhen-Guo
Zeng, Sheng-Da
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 438 : 335 - 339

← 1 2 3 4 5 →