Lattice Boltzmann model for time sub-diffusion equation in Caputo sense

DOI10.1016/j.amc.2019.04.014zbMath1428.76153OpenAlexW2941705112MaRDI QIDQ2279347

Dongke Sun, Rui Du, Zhenhua Chai, Baochang Shi

Publication date: 12 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.04.014

zbMATH Keywords

lattice Boltzmann methodfractional diffusion equationCaputo sense

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items

Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations, A discrete kinetic scheme to model anisotropic liquid-solid phase transitions, Space fractional-order modeling for the sintering process of metal fibers via lattice Boltzmann method, Lattice Boltzmann method for fractional Cahn-Hilliard equation, Lattice BGK model for time-fractional incompressible Navier-Stokes equations, Numerical simulation of the fractional dispersion advection equations based on the lattice Boltzmann model, A lattice Boltzmann model for the fractional advection-diffusion equation coupled with incompressible Navier-Stokes equation

Cites Work

• Unnamed Item
• Unnamed Item
• Combined compact difference scheme for the time fractional convection-diffusion equation with variable coefficients
• A multiple-relaxation-time lattice Boltzmann model for general nonlinear anisotropic convection-diffusion equations
• An implicit RBF meshless approach for time fractional diffusion equations
• Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
• A lattice Boltzmann model for the Korteweg-de Vries equation with two conservation laws
• A compact difference scheme for the fractional diffusion-wave equation
• Finite element approximation for a modified anomalous subdiffusion equation
• A high-order compact finite difference scheme for the fractional sub-diffusion equation
• A novel lattice Boltzmann model for the Poisson equation
• Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The accuracy and stability of an implicit solution method for the fractional diffusion equation
• Numerical study of the nonlinear combined sine-cosine-Gordon equation with the lattice Boltzmann method
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
• Lattice Boltzmann Method and Its Applications in Engineering
• An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation
• Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
• An extrapolation method for boundary conditions in lattice Boltzmann method
• A Space-Time Spectral Method for the Time Fractional Diffusion Equation
• Lattice BGK Models for Navier-Stokes Equation
• Permutations and piecewise-constant approximation of continuous functions of n variables
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
• The Lattice Boltzmann Method
• The random walk's guide to anomalous diffusion: A fractional dynamics approach