A meshless method based on moving Kriging interpolation for a two-dimensional time-fractional diffusion equation

2014 ◽  
Vol 23 (4) ◽  
pp. 040203 ◽  
Author(s):  
Hong-Xia Ge ◽  
Rong-Jun Cheng
Keyword(s):  
Diffusion Equation ◽  
Meshless Method ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Kriging Interpolation ◽  
Two Dimensional ◽  
Moving Kriging Interpolation ◽  
Time Fractional Diffusion Equation

scholarly journals An inverse source problem for a two dimensional time fractional diffusion equation with involution

2021 ◽  
Author(s):  
Batirkhan Turmetov ◽  
B. J. Kadirkulov
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation ◽  
Diffusion Equation ◽  
Fourier Method ◽  
Dirichlet Condition ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Inverse Source Problem ◽  
Two Dimensional ◽  
Time Fractional Diffusion Equation

In this paper, we consider a two-dimensional generalization of the parabolic equation. Using the Fourier method, we study the solvability of the inverse problem with the Dirichlet condition and periodic conditions.

scholarly journals ON THE STABILITY CONDITIONS OF 2D TIME FRACTIONAL DIFFUSION EQUATION

2020 ◽  
Vol 25 (1) ◽  
pp. 11-15 ◽  
Author(s):  
Adel Rashed A. Ali Alsabbagh ◽  
Esraa Abbas Al-taai
Keyword(s):  
Diffusion Equation ◽  
Time Derivative ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Stability Conditions ◽  
Two Dimensional ◽  
Time Fractional Diffusion Equation ◽  
The Stability ◽  
Definition Of ◽  
Good Agreement

The Caputo definition of fractional derivative has been employed for the time derivative for the two-dimensional time-fractional diffusion equation. The stability condition obtained by reformulation the classical multilevel technique on the finite difference scheme. A numerical example gives a good agreement with the theoretical result

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