Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method with application in porous media

2021 ◽  
Author(s):  
Sachin Kumar
Keyword(s):  
Porous Media ◽  
Diffusion Equation ◽  
Numerical Solution ◽  
Spectral Method ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Chebyshev Spectral Method

Discrete Fractional Diffusion Equation of Chaotic Order

2016 ◽  
Vol 26 (01) ◽  
pp. 1650013 ◽  
Author(s):  
Guo-Cheng Wu ◽  
Dumitru Baleanu ◽  
He-Ping Xie ◽  
Sheng-Da Zeng
Keyword(s):  
Porous Media ◽  
Fractional Calculus ◽  
Diffusion Equation ◽  
Discrete Time ◽  
Chaotic Map ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Variable Order ◽  
Diffusion Modeling ◽  
Discrete Fractional Calculus

Discrete fractional calculus is suggested in diffusion modeling in porous media. A variable-order fractional diffusion equation is proposed on discrete time scales. A function of the variable order is constructed by a chaotic map. The model shows some new random behaviors in comparison with other variable-order cases.

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