Generalized finite difference method for a class of multidimensional space-fractional diffusion equations
From MaRDI portal
Publication:2033607
DOI10.1007/s00466-020-01917-yOpenAlexW3085609715WikidataQ113326836 ScholiaQ113326836MaRDI QIDQ2033607
Zhaoyang Wang, Jiayi Nie, Yong Zhang, Rui Xiao, Hong-Guang Sun
Publication date: 17 June 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-020-01917-y
generalized finite difference methodmoving least-square approximationlocal meshless methodspace fractional diffusion equations
Related Items (4)
A high-efficient accurate coupled mesh-free scheme for 2D/3D space-fractional convection-diffusion/Burgers' problems ⋮ An accelerated novel meshless coupled Algorithm for non-local nonlinear behavior in 2D/3D space-fractional GPEs ⋮ A scale-dependent hybrid algorithm for multi-dimensional time fractional differential equations ⋮ Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation
Cites Work
- Unnamed Item
- Unnamed Item
- Space-fractional advection-dispersion equations by the Kansa method
- Finite difference approximations for the fractional advection-diffusion equation
- Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation
- Application of the generalized finite difference method to solve the advection-diffusion equation
- Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation
- A scale-dependent finite difference approximation for time fractional differential equation
- Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
- A note on the finite element method for the space-fractional advection diffusion equation
- Anomalous diffusion modeling by fractal and fractional derivatives
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Influence graphs and the generalized finite difference method
- Influence of several factors in the generalized finite difference method
- An \(h\)-adaptive method in the generalized finite differences
- A note on the Poincaré inequality for convex domains
- Improvements of generalized finite difference method and comparison with other meshless method
- Connecting complexity with spectral entropy using the Laplace transformed solution to the fractional diffusion equation
- Enriched reproducing kernel particle method for fractional advection-diffusion equation
- A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation
- FDM for fractional parabolic equations with the Neumann condition
- An enriched finite element method to fractional advection-diffusion equation
- Alternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equation
- Wavelets method for solving fractional optimal control problems
- Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations
- Finite difference approximations for fractional advection-dispersion flow equations
- The quasi-boundary value method for identifying the initial value of the space-time fractional diffusion equation
- A space fractional constitutive equation model for non-Newtonian fluid flow
- A new collection of real world applications of fractional calculus in science and engineering
- A high accuracy method for long-time evolution of acoustic wave equation
- A Petrov-Galerkin finite element method for the fractional advection-diffusion equation
- High-order central difference scheme for Caputo fractional derivative
- Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method
- Solving parabolic and hyperbolic equations by the generalized finite difference method
- Finite difference methods for two-dimensional fractional dispersion equation
- Finite difference approximations for two-sided space-fractional partial differential equations
- Modelling heat transfer in heterogeneous media using fractional calculus
- A semi-discrete finite element method for a class of time-fractional diffusion equations
- Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
- Generalized finite difference method for solving two-dimensional inverse Cauchy problems
- Multidimensional solutions of time-fractional diffusion-wave equations
- FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION
- Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography
- A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations
- Fractional diffusion: probability distributions and random walk models
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Generalized finite difference method for a class of multidimensional space-fractional diffusion equations