A scale-dependent finite difference approximation for time fractional differential equation
From MaRDI portal
Publication:670364
DOI10.1007/s00466-018-1601-xzbMath1467.76038OpenAlexW2884418319WikidataQ113327230 ScholiaQ113327230MaRDI QIDQ670364
Yong Zhang, XiaoTing Liu, Hong-Guang Sun, Zhuo-Jia Fu
Publication date: 18 March 2019
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-018-1601-x
non-uniform meshfractional differential relaxation-type equationpower-law time dependencescale-dependent finite difference method
Diffusion (76R50) Finite difference methods applied to problems in fluid mechanics (76M20) Fractional derivatives and integrals (26A33)
Related Items (10)
Quantifying fate and transport of nitrate in saturated soil systems using fractional derivative model ⋮ Generalized Bernoulli polynomials: solving nonlinear 2D fractional optimal control problems ⋮ Precision algorithms in second-order fractional differential equations ⋮ Численное моделирование процесса аномальной диффузии на основе схемы повышенного порядка точности ⋮ An exact solution of fractional Euler-Bernoulli equation for a beam with fixed-supported and fixed-free ends ⋮ Generalized finite difference method for a class of multidimensional space-fractional diffusion equations ⋮ An efficient localized collocation solver for anomalous diffusion on surfaces ⋮ A space-time backward substitution method for three-dimensional advection-diffusion equations ⋮ A scale-dependent hybrid algorithm for multi-dimensional time fractional differential equations ⋮ A fractional-order dependent collocation method with graded mesh for impulsive fractional-order system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast numerical contour integral method for fractional diffusion equations
- Differential operator multiplication method for fractional differential equations
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- Space-fractional advection-dispersion equations by the Kansa method
- Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
- Anomalous diffusion modeling by fractal and fractional derivatives
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Method of approximate particular solutions for constant- and variable-order fractional diffusion models
- Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations
- A review of applications of fractional calculus in Earth system dynamics
- A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations
- A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation
- An enriched finite element method to fractional advection-diffusion equation
- A posteriori error estimates of finite element method for the time-dependent Navier-Stokes equations
- Fractional differential equations of Caputo-Katugampola type and numerical solutions
- Numerical solution of the Bagley-Torvik equation.
- A numerical scheme for initial compliance and creep response of a system
- Stability analysis of Caputo-like discrete fractional systems
- A new collection of real world applications of fractional calculus in science and engineering
- Boundary particle method for Laplace transformed time fractional diffusion equations
- Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation
- A Petrov-Galerkin finite element method for the fractional advection-diffusion equation
- High-order central difference scheme for Caputo fractional derivative
- Adaptive finite element method for fractional differential equations using hierarchical matrices
- A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
- Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
- A finite difference method with non-uniform timesteps for fractional diffusion equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A second-order accurate numerical approximation for the fractional diffusion equation
- Time-space fabric underlying anomalous diffusion
- Uniform Estimates of an Eulerian–Lagrangian Method for Time-Dependent Convection-Diffusion Equations in Multiple Space Dimensions
- An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements
- Error bounds of singular boundary method for potential problems
- Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative
- A Fast Finite Element Method for Space-Fractional Dispersion Equations on Bounded Domains in $\mathbb{R}^2$
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Lubich Second-Order Methods for Distributed-Order Time-Fractional Differential Equations with Smooth Solutions
- The numerical solution of fractional differential equations: speed versus accuracy
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: A scale-dependent finite difference approximation for time fractional differential equation
