A preconditioned implicit difference scheme for semilinear two‐dimensional time–space fractional Fokker–Planck equations

2020 ◽  
Author(s):  
Chengjian Zhang ◽  
Yongtao Zhou
Keyword(s):  
Difference Scheme ◽  
Two Dimensional ◽  
Implicit Difference Scheme ◽  
Time Space ◽  
Fokker Planck Equations ◽  
Fokker Planck

scholarly journals SEMI-IMPLICIT DIFFERENCE SCHEME FOR A TWO-DIMENSIONAL PARABOLIC EQUATION WITH AN INTEGRAL BOUNDARY CONDITION

2017 ◽  
Vol 22 (5) ◽  
pp. 617-633 ◽  
Author(s):  
Kristina Jakubėlienė ◽  
Regimantas Čiupaila ◽  
Mifodijus Sapagovas
Keyword(s):  
Boundary Condition ◽  
Difference Scheme ◽  
Parabolic Equations ◽  
Integral Boundary Conditions ◽  
Two Dimensional ◽  
Implicit Difference Scheme ◽  
Integral Boundary ◽  
Theoretical Investigations ◽  
Regular Splitting ◽  
The Stability

In this paper, we consider a finite difference method for a class of twodimensional parabolic equations with integral boundary conditions. The semi-implicit difference scheme is considered. The stability of difference scheme is proved using the properties of the M-matrices, particularly, the regular splitting of an M-matrix. The numerical results of some examples are presented, that approve our theoretical investigations.

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