FDM for fractional parabolic equations with the Neumann condition

被引：16
作者：
Ashyralyev, Allaberen [1 ,2 ]
Cakir, Zafer [3 ]
机构：
[1] Fatih Univ, Dept Math, Istanbul, Turkey
[2] ITTU, Dept Math, Ashkhabad, Turkmenistan
[3] Gumushane Univ, Dept Math Engn, Gumushane, Turkey
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
fractional parabolic equations; Neumann condition; difference schemes; stability; DIFFERENTIAL-EQUATIONS; COERCIVE SOLVABILITY;
D O I：
10.1186/1687-1847-2013-120
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented. Almost coercive stability estimates for the solution of these difference schemes are obtained. The method is illustrated by numerical examples.
引用
收藏
页数：16
相关论文
共 50 条
[1]   Maximal regular boundary value problems in Banach-valued weighted space [J].
Agarwal, Ravi P. ;
Bohner, Martin ;
Shakhmurov, Veli B. .
BOUNDARY VALUE PROBLEMS, 2005, 2005 (01) :9-42
[2]   A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative [J].
Agarwal, Ravi P. ;
Belmekki, Mohammed ;
Benchohra, Mouffak .
ADVANCES IN DIFFERENCE EQUATIONS, 2009, :1-47
[3]   Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations [J].
Agarwal, Ravi P. ;
de Andrade, Bruno ;
Cuevas, Claudio .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) :3532-3554
[4]   On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations [J].
Agarwal, Ravi P. ;
de Andrade, Bruno ;
Cuevas, Claudio .
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[5]  
Alibekov H. A., 1980, UKR MAT ZH, V32, P291
[6]  
ALIBEKOV KA, 1977, DOKL AKAD NAUK SSSR+, V232, P737
[7]   Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order [J].
Amanov, Djumaklych ;
Ashyralyev, Allaberen .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[8]  
[Anonymous], 2006, THEORY APPL FRACTION
[9]   Almost automorphic mild solutions to fractional differential equations [J].
Araya, Daniela ;
Lizama, Carlos .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) :3692-3705
[10]  
Ashyralyev A, 2012, TWMS J APPL ENG MATH, V2, P75
12345