TY - JOUR
JF - IJMSI
JO - IJMSI
VL - 11
IS - 2
PY - 2016
Y1 - 2016/11/01
TI - An Implicit Difference-ADI Method for the Two-dimensional Space-time Fractional Diffusion Equation
TT -
N2 - Fractional order diffusion equations are generalizations of classical diffusion equations which are used to model in physics, finance, engineering, etc. In this paper we present an implicit difference approximation by using the alternating directions implicit (ADI) approach to solve the two-dimensional space-time fractional diffusion equation (2DSTFDE) on a finite domain. Consistency, unconditional stability, and therefore first-order convergence of the method are proven. Some numerical examples with known exact solution are tested, and the behavior of the errors are analyzed to demonstrate the order of convergence of the method.
SP - 71
EP - 86
AU - Nasrollahzadeh, F.
AU - Hosseini, S. M
AD - Department of Applied Mathematics,Faculty of Mathematical Sciences,Tarbiat Modares University
KW - Two-dimensional fractional differential equation
KW - Space-time fractional diffusion equation
KW - Implicit difference method
KW - Alternating directions implicit methods
UR - http://ijmsi.ir/article-1-492-en.html
DO - 10.7508/ijmsi.2016.02.005
ER -