Influence of Reversible Hydrogen Doping on the Surface of Diffusion Filter Membranes

2021 ◽  
Vol 15 (5) ◽  
pp. 1058-1062
Author(s):  
O. V. Akimova ◽  
I. S. Tereshina ◽  
T. P. Kaminskaya
Keyword(s):  
Diffusion Filter ◽  
Hydrogen Doping

An anisotropic diffusion filter based on multidirectional separability

2013 ◽  
Author(s):  
Shen Liu ◽  
Jianguo Wei ◽  
Xin Wang ◽  
Wenhuan Lu ◽  
Qiang Fang ◽  
...  
Keyword(s):  
Anisotropic Diffusion ◽  
Diffusion Filter ◽  
Anisotropic Diffusion Filter

A highly stable explicit scheme for a fourth-order nonlinear diffusion filter

2020 ◽  
Vol 11 (04) ◽  
pp. 2050030
Author(s):  
Mahipal Jetta
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Fourth Order ◽  
Nonlinear Diffusion ◽  
Splitting Scheme ◽  
Step Size ◽  
Time Step ◽  
Time Step Size ◽  
Diffusion Filter ◽  
Spatial Derivatives

The standard finite difference scheme (forward difference approximation for time derivative and central difference approximations for spatial derivatives) for fourth-order nonlinear diffusion filter allows very small time-step size to obtain stable results. The alternating directional implicit (ADI) splitting scheme such as Douglas method is highly stable but compromises accuracy for a relatively larger time-step size. In this paper, we develop [Formula: see text] stencils for the approximation of second-order spatial derivatives based on the finite pointset method. We then make use of these stencils for approximating the fourth-order partial differential equation. We show that the proposed scheme allows relatively bigger time-step size than the standard finite difference scheme, without compromising on the quality of the filtered image. Further, we demonstrate through numerical simulations that the proposed scheme is more efficient, in obtaining quality filtered image, than an ADI splitting scheme.

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