Numerical simulation of anomalous infiltration in porous media
From MaRDI portal
Publication:2017611
DOI10.1007/s11075-014-9853-9zbMath1310.76121OpenAlexW2061698362MaRDI QIDQ2017611
Shujun Shen, Qingxia Liu, Fawang Liu, V. V. Anh
Publication date: 23 March 2015
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://eprints.qut.edu.au/82697/1/P11_NUMA1404R1_20_Aug_09.pdf
porous mediatime-fractional Boussinesq equationanomalous infiltrationsubdiffusion and superdiffusiontime variable order fractional derivative
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items
Implicit finite difference method for fractional percolation equation with Dirichlet and fractional boundary conditions ⋮ A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations ⋮ Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law ⋮ An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations ⋮ Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation ⋮ Quadratic spline collocation method for the time fractional subdiffusion equation ⋮ Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever ⋮ On reflecting boundary conditions for space-fractional equations on a finite interval: proof of the matrix transfer technique ⋮ Simultaneous determination of the strain hardening exponent, the shear modulus and the elastic stress limit in an inverse problem ⋮ On the analysis of mixed-index time fractional differential equation systems ⋮ Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations
Cites Work
- Numerical techniques for the variable-order time fractional diffusion equation
- Numerical analysis and physical simulations for the time fractional radial diffusion equation
- On mean square displacement behaviors of anomalous diffusions with variable and random orders
- Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation
- An anomalous non-self-similar infiltration and fractional diffusion equation
- Variable order and distributed order fractional operators
- Fractional integration and differentiation of variable order
- The analytical solution and numerical solution of the fractional diffusion-wave equation with damping
- A fully discrete difference scheme for a diffusion-wave system
- Control of damping oscillations by fractional differential operator with time-dependent order
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Variable Order Modeling of Diffusive-convective Effects on the Oscillatory Flow Past a Sphere
- Constitutive Dynamic-Order Model for Nonlinear Contact Phenomena
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Mechanics with variable-order differential operators
- The variable viscoelasticity oscillator
- Integration and differentiation to a variable fractional order
- A variable order constitutive relation for viscoelasticity