A modified memory-based mathematical model describing fluid flow in porous media
From MaRDI portal
Publication:666809
DOI10.1016/j.camwa.2016.11.022zbMath1409.76141OpenAlexW2559941130MaRDI QIDQ666809
Sidqi A. Abu-Khamsin, M. Enamul Hossain, Abiola D. Obembe, Kassem Mustapha
Publication date: 12 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.11.022
Darcy's lawanomalous diffusionRiemann-Liouville operatorfractional operatorGrünwald-Letnikov definition
Related Items
A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order, Analysis of subdiffusion in disordered and fractured media using a Grünwald-Letnikov fractional calculus model, Modelling of fluid flow through porous media using memory approach: a review, On the self-similar, Wright-function exact solution for early-time, anomalous diffusion in random networks: comparison with numerical results, Approximate symmetry group classification for a nonlinear fractional filtration equation of diffusion-wave type, A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
Uses Software
Cites Work
- Unnamed Item
- Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching
- Numerical and analytical solutions of new generalized fractional diffusion equation
- Efficient computation of the Grünwald-Letnikov fractional diffusion derivative using adaptive time step memory
- Nonlinear correction to Darcy's law for channels with wavy walls
- Notes on `Implicit finite difference approximation for time fractional diffusion equations [Comput. Math. Appl. 56 (2008) 1138-1145]
- Numerical treatment of fractional heat equations
- Implicit finite difference approximation for time fractional diffusion equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical methods for the solution of partial differential equations of fractional order.
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Chaos, fractional kinetics, and anomalous transport
- Parameter estimation for the fractional fractal diffusion model based on its numerical solution
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- A second-order accurate numerical approximation for the fractional diffusion equation
- Weighted average finite difference methods for fractional diffusion equations
- Diffusion and Reactions in Fractals and Disordered Systems
- Theory and simulation of time-fractional fluid diffusion in porous media
- Discretized Fractional Calculus
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Nonlinear correction to Darcy's law for a flow through periodic arrays of elliptic cylinders
