Nonincreasing energy function on inhomogeneous diffusion equation with Neumann B.C.

2014 ◽  
Vol 8 ◽  
pp. 4637-4640
Author(s):  
P. Haarsa ◽  
S. Pothat
Keyword(s):  
Diffusion Equation ◽  
Energy Function ◽  
Inhomogeneous Diffusion

scholarly journals Stability of the Diffusion Equation with a Source

2018 ◽  
Vol 2018 ◽  
pp. 1-8
Author(s):  
Soon-Mo Jung ◽  
Seungwook Min
Keyword(s):  
Diffusion Equation ◽  
Ulam Stability ◽  
Partial Derivatives ◽  
Inhomogeneous Diffusion

We will prove the generalized Hyers-Ulam stability of the (inhomogeneous) diffusion equation with a source, ut(x,t)-k△u(x,t)=f(x,t), for a class of scalar functions with continuous second partial derivatives.

Multi-focus image fusion based on depth extraction with inhomogeneous diffusion equation

2016 ◽  
Vol 125 ◽  
pp. 171-186 ◽  
Author(s):  
Jinsheng Xiao ◽  
Tingting Liu ◽  
Yongqin Zhang ◽  
Baiyu Zou ◽  
Junfeng Lei ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Image Fusion ◽  
Depth Extraction ◽  
Focus Image ◽  
Inhomogeneous Diffusion
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