A scale-dependent hybrid algorithm for multi-dimensional time fractional differential equations
DOI10.1007/s13540-022-00083-7zbMath1503.65188OpenAlexW4293193127WikidataQ114016951 ScholiaQ114016951MaRDI QIDQ2110575
Zhaoyang Wang, Yan Gu, Hong-Guang Sun, Chuan-Zeng Zhang
Publication date: 21 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13540-022-00083-7
anomalous diffusionfractional differential equationsgeneralized finite difference methodscale-dependent hybrid algorithm
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Cites Work
- Finite element method for two-dimensional space-fractional advection-dispersion equations
- Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition
- Space-fractional advection-dispersion equations by the Kansa method
- A preconditioned fast finite difference method for space-time fractional partial differential equations
- Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation
- A scale-dependent finite difference approximation for time fractional differential equation
- Anomalous diffusion modeling by fractal and fractional derivatives
- Influence of several factors in the generalized finite difference method
- An \(h\)-adaptive method in the generalized finite differences
- Improvements of generalized finite difference method and comparison with other meshless method
- A finite volume method for two-sided fractional diffusion equations on non-uniform meshes
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Finite difference approximations for fractional advection-dispersion flow equations
- Generalized finite difference method with irregular mesh for a class of three-dimensional variable-order time-fractional advection-diffusion equations
- Generalized finite difference method for a class of multidimensional space-fractional diffusion equations
- An efficient localized collocation solver for anomalous diffusion on surfaces
- On the use of complex stretching coordinates in generalized finite difference method with applications in inhomogeneous visco-elasto dynamics
- A fast numerical method for fractional partial differential equations
- Hydrodynamic dispersion in heterogeneous anisotropic porous media: a simple model for anomalous diffusion emergence
- An investigation on continuous time random walk model for bedload transport
- A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations
- Simulation of antiplane shear problems with multiple inclusions using the generalized finite difference method
- A finite element method for space-time directional fractional diffusion partial differential equations in the plane and its error analysis
- Fractional derivative anomalous diffusion equation modeling prime number distribution
- A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations
- A finite difference method with non-uniform timesteps for fractional diffusion equations
- Finite element method for a space-fractional anti-diffusive equation
- A fully discrete difference scheme for a diffusion-wave system
- Time-space fabric underlying anomalous diffusion
- A weak Galerkin finite element method for high dimensional time-fractional diffusion equation
- Generalized finite difference method for solving two-dimensional inverse Cauchy problems
- The finite difference method at arbitrary irregular grids and its application in applied mechanics
- Shear dispersion and anomalous diffusion by chaotic advection
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
This page was built for publication: A scale-dependent hybrid algorithm for multi-dimensional time fractional differential equations