scholarly journals A modified kernel method for a time-fractional inverse diffusion problem

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Songshu Liu ◽  
Lixin Feng
Keyword(s):  
Kernel Method ◽  
Diffusion Problem ◽  
Inverse Diffusion

scholarly journals An Inverse Problem for a Two-Dimensional Time-Fractional Sideways Heat Equation

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Songshu Liu ◽  
Lixin Feng
Keyword(s):  
Kernel Method ◽  
A Priori ◽  
Diffusion Problem ◽  
Two Dimensional ◽  
A Posteriori ◽  
Numerical Examples ◽  
Regularization Parameters ◽  
Ill Posed ◽  
Convergence Estimates ◽  
Inverse Diffusion

In this paper, we consider a two-dimensional (2D) time-fractional inverse diffusion problem which is severely ill-posed; i.e., the solution (if it exists) does not depend continuously on the data. A modified kernel method is presented for approximating the solution of this problem, and the convergence estimates are obtained based on both a priori choice and a posteriori choice of regularization parameters. The numerical examples illustrate the behavior of the proposed method.

Quasi-solution approach for a two dimensional nonlinear inverse diffusion problem

2013 ◽  
Vol 219 (23) ◽  
pp. 10956-10960 ◽  
Author(s):  
Yiliang Liu ◽  
Salih Tatar ◽  
Suleyman Ulusoy
Keyword(s):  
Diffusion Problem ◽  
Two Dimensional ◽  
Solution Approach ◽  
Inverse Diffusion

scholarly journals Numerical solution of an inverse diffusion problem for the moisture transfer coefficient in a porous material

2007 ◽  
Vol 41 (2) ◽  
pp. 335-344 ◽  
Author(s):  
I. V. Amirkhanov ◽  
E. Pavlušová ◽  
M. Pavluš ◽  
T. P. Puzynina ◽  
I. V. Puzynin ◽  
...  
Keyword(s):  
Porous Material ◽  
Transfer Coefficient ◽  
Numerical Solution ◽  
Moisture Transfer ◽  
Diffusion Problem ◽  
Moisture Transfer Coefficient ◽  
Inverse Diffusion

Reverse differentiation and the inverse diffusion problem

1997 ◽  
Vol 28 (4) ◽  
pp. 217-221 ◽  
Author(s):  
A.J. Davies ◽  
D.B. Christianson ◽  
L.C.W. Dixon ◽  
R. Roy ◽  
P. van der Zee
Keyword(s):  
Diffusion Problem ◽  
Inverse Diffusion
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