scholarly journals The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation

Author(s):  
S.M. Helal ◽  
A. Elmekawy
2014 ◽  
Vol 543-547 ◽  
pp. 2300-2303
Author(s):  
Li Hua Sun ◽  
En Liang Zhao ◽  
Feng Ying Wang

In this paper, we make use of the integral method which is commonly used in partial differential equations to get the difference scheme on five points, and then construct an anisotropic diffusion model based on the partial differential equation. The numerical experimental results show the diffusion model can effectively magnify the image, and can keep the edge character and details of the image. It is proved that the numerical computational method proposed for solving the model is very effective.


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