Additive Difference Scheme for Two-Dimensional Fractional in Time Diffusion Equation

被引：1

作者：

Hodzic-Zivanovic, Sandra ^{[1
]}

Jovanovic, Bosko S. ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Belgrade 11001, Serbia

来源：

FILOMAT | 2017年 / 31卷 / 02期

关键词：

fractional derivative; finite differences; additive scheme; stability; convergence rate; ORDER;

D O I：

10.2298/FIL1702217H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An additive finite-difference scheme for numerical approximation of initial-boundary value problem for two-dimensional fractional in time diffusion equation is proposed. Its stability is investigated and a convergence rate estimate is obtained.

引用

页码：217 / 226

页数：10

共 16 条

[1] A new difference scheme for the time fractional diffusion equation
Alikhanov, Anatoly A.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 280 : 424 - 438
[2] Boundary value problems for the diffusion equation of the variable order in differential and difference settings
Alikhanov, Anatoly A.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) : 3938 - 3946
[3] [Anonymous], 2006, THEORY APPL FRACTION
[4] [Anonymous], 1974, The fractional calculus theory and applications of differentiation and integration to arbitrary order, DOI DOI 10.1016/S0076-5392(09)60219-8
[5] [Anonymous], 1999, FRACTIONAL DIFFERENT
[6] [Anonymous], 2001, MONOGR TXB PURE APPL
[7] Locally One-Dimensional Scheme for Fractional Diffusion Equations with Robin Boundary Conditions
Bazzaev, A. K.
Shkhanukov-Lafishev, M. Kh
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2010, 50 (07) : 1141 - 1149
[8] ESTIMATION OF LINEAR FUNCTIONALS ON SOBOLEV SPACES WITH APPLICATION TO FOURIER TRANSFORMS AND SPLINE INTERPOLATION
BRAMBLE, JH
HILBERT, SR
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1970, 7 (01) : 112 - &
[9] Numerical approximation of an interface problem for fractional in time diffusion equation
Delic, Aleksandra
Jovanovic, Bogko S.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 : 467 - 479
[10] Variational formulation for the stationary fractional advection dispersion equation
Ervin, VJ
Roop, JP
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2006, 22 (03) : 558 - 576

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