scholarly journals A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients

2017 ◽  
Vol 73 (6) ◽  
pp. 1155-1171 ◽  
Author(s):  
L.B. Feng ◽  
P. Zhuang ◽  
F. Liu ◽  
I. Turner ◽  
V. Anh ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Accurate Method ◽  
Fractional Diffusion ◽  
Variable Coefficients ◽  
Second Order ◽  
Fractional Diffusion Equation ◽  
Space Fractional Diffusion Equation

Inverse problem for nonlinear backward space-fractional diffusion equation

2017 ◽  
Vol 25 (4) ◽  
Author(s):  
Hai Dinh Nguyen Duy ◽  
Tuan Nguyen Huy ◽  
Long Le Dinh ◽  
Gia Quoc Thong Le
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Fractional Diffusion ◽  
Diffusion Problem ◽  
Second Order ◽  
Fractional Diffusion Equation ◽  
Nonlinear Source ◽  
Classical Diffusion ◽  
Space Fractional Diffusion Equation

AbstractIn this paper, a backward diffusion problem for a space-fractional diffusion equation (SFDE) with nonlinear source in a strip is investigated. This problem is obtained from the classical diffusion equation by replacing the second-order space derivative with a Riesz–Feller derivative of order

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