Fawang Liu
Orcid: 0000-0003-1034-2349Affiliations:
- Queensland University of Technology, School of Mathematical Sciences, Brisbane, QLD, Australia
According to our database1,
Fawang Liu
authored at least 136 papers
between 2003 and 2024.
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Bibliography
2024
Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay.
Numer. Algorithms, April, 2024
Parameter estimation for time-fractional Black-Scholes equation with S &P 500 index option.
Numer. Algorithms, January, 2024
2023
Numerical calculation and fast method for the magnetohydrodynamic flow and heat transfer of fractional Jeffrey fluid on a two-dimensional irregular convex domain.
Comput. Math. Appl., December, 2023
Fractional potential: A new perspective on the fractional Laplacian problem on bounded domains.
Commun. Nonlinear Sci. Numer. Simul., October, 2023
An effective operator splitting method based on spectral deferred correction for the fractional Gray-Scott model.
J. Comput. Appl. Math., June, 2023
Galerkin finite element method for a two-dimensional tempered time-space fractional diffusion equation with application to a Bloch-Torrey equation retaining Larmor precession.
Math. Comput. Simul., April, 2023
Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media.
Math. Comput. Simul., 2023
The non-uniform L1-type scheme coupling the finite volume method for the time-space fractional diffusion equation with variable coefficients.
J. Comput. Appl. Math., 2023
2022
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain.
J. Comput. Appl. Math., 2022
A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian.
Commun. Nonlinear Sci. Numer. Simul., 2022
Global superconvergence analysis of nonconforming finite element method for time fractional reaction-diffusion problem with anisotropic data.
Comput. Math. Appl., 2022
An alternating direction implicit legendre spectral method for simulating a 2D multi-term time-fractional Oldroyd-B fluid type diffusion equation.
Comput. Math. Appl., 2022
The application of the distributed-order time fractional Bloch model to magnetic resonance imaging.
Appl. Math. Comput., 2022
An investigation of space distributed-order models for simulating anomalous transport in a binary medium.
Appl. Math. Comput., 2022
2021
A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions.
Numer. Algorithms, 2021
A space-time finite element method for solving linear Riesz space fractional partial differential equations.
Numer. Algorithms, 2021
A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients.
J. Comput. Appl. Math., 2021
Numerical approximation of 2D multi-term time and space fractional Bloch-Torrey equations involving the fractional Laplacian.
J. Comput. Appl. Math., 2021
Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem.
CoRR, 2021
A finite volume method for the two-dimensional time and space variable-order fractional Bloch-Torrey equation with variable coefficients on irregular domains.
Comput. Math. Appl., 2021
Flow and heat transfer of viscoelastic fluid with a novel space distributed-order constitution relationship.
Comput. Math. Appl., 2021
Radial point interpolation collocation method based approximation for 2D fractional equation models.
Comput. Math. Appl., 2021
2020
An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains.
J. Comput. Phys., 2020
A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation.
J. Comput. Appl. Math., 2020
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains.
J. Comput. Appl. Math., 2020
High-order numerical methods for the Riesz space fractional advection-dispersion equations.
CoRR, 2020
Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation.
Comput. Math. Appl., 2020
Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains.
Comput. Math. Appl., 2020
Comput. Math. Appl., 2020
A novel finite element method for the distributed-order time fractional Cable equation in two dimensions.
Comput. Math. Appl., 2020
A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions.
Appl. Math. Lett., 2020
The global analysis on the spectral collocation method for time fractional Schrödinger equation.
Appl. Math. Comput., 2020
2019
Some second-order ϴ schemes combined with finite element method for nonlinear fractional cable equation.
Numer. Algorithms, 2019
Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever.
Numer. Algorithms, 2019
The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation.
J. Comput. Appl. Math., 2019
Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications.
J. Comput. Appl. Math., 2019
Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains.
Commun. Nonlinear Sci. Numer. Simul., 2019
Special Issue: Advances in Fractional Differential Equations (V): Time-Space Fractional PDEs.
Comput. Math. Appl., 2019
A new time and spatial fractional heat conduction model for Maxwell nanofluid in porous medium.
Comput. Math. Appl., 2019
Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium.
Comput. Math. Appl., 2019
Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains.
Comput. Math. Appl., 2019
A fractional alternating-direction implicit method for a multi-term time-space fractional Bloch-Torrey equations in three dimensions.
Comput. Math. Appl., 2019
Unsteady boundary layer flow of viscoelastic MHD fluid with a double fractional Maxwell model.
Appl. Math. Lett., 2019
Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model.
Appl. Math. Comput., 2019
2018
Differential quadrature method for space-fractional diffusion equations on 2D irregular domains.
Numer. Algorithms, 2018
Novel analytical and numerical techniques for fractional temporal SEIR measles model.
Numer. Algorithms, 2018
The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time-Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain.
J. Sci. Comput., 2018
Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation.
J. Comput. Appl. Math., 2018
A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements.
Commun. Nonlinear Sci. Numer. Simul., 2018
Commun. Nonlinear Sci. Numer. Simul., 2018
Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient.
Comput. Math. Appl., 2018
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation.
Comput. Math. Appl., 2018
A novel approach of high accuracy analysis of anisotropic bilinear finite element for time-fractional diffusion equations with variable coefficient.
Comput. Math. Appl., 2018
Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains.
Comput. Math. Appl., 2018
A stochastic model for thermal transport of nanofluid in porous media: Derivation and applications.
Comput. Math. Appl., 2018
Anomalous diffusion in comb model with fractional dual-phase-lag constitutive relation.
Comput. Math. Appl., 2018
Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness.
Appl. Math. Lett., 2018
A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain.
Appl. Math. Lett., 2018
Fast numerical simulation of a new time-space fractional option pricing model governing European call option.
Appl. Math. Comput., 2018
Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes.
Appl. Math. Comput., 2018
Fully discrete spectral methods for solving time fractional nonlinear Sine-Gordon equation with smooth and non-smooth solutions.
Appl. Math. Comput., 2018
2017
Numer. Algorithms, 2017
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary.
J. Comput. Phys., 2017
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains.
J. Comput. Phys., 2017
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging.
J. Comput. Appl. Math., 2017
Comput. Math. Appl., 2017
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations.
Comput. Math. Appl., 2017
Numerical methods for the two-dimensional multi-term time-fractional diffusion equations.
Comput. Math. Appl., 2017
High accuracy analysis of an -Galerkin mixed finite element method for two-dimensional time fractional diffusion equations.
Comput. Math. Appl., 2017
A novel finite volume method for the Riesz space distributed-order diffusion equation.
Comput. Math. Appl., 2017
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients.
Comput. Math. Appl., 2017
2016
Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients.
SIAM J. Numer. Anal., 2016
Numer. Algorithms, 2016
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation.
Numer. Algorithms, 2016
Numer. Algorithms, 2016
Commun. Nonlinear Sci. Numer. Simul., 2016
Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux.
Commun. Nonlinear Sci. Numer. Simul., 2016
Numerical solution of the time fractional Black-Scholes model governing European options.
Comput. Math. Appl., 2016
Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid.
Comput. Math. Appl., 2016
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations.
Appl. Math. Lett., 2016
2015
A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker-Planck Equation.
SIAM J. Sci. Comput., 2015
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy.
SIAM J. Sci. Comput., 2015
Numer. Algorithms, 2015
Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains.
J. Comput. Phys., 2015
A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain.
J. Comput. Phys., 2015
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation.
J. Comput. Appl. Math., 2015
A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation.
Appl. Math. Comput., 2015
A center Box method for radially symmetric solution of fractional subdiffusion equation.
Appl. Math. Comput., 2015
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation.
Appl. Math. Comput., 2015
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients.
Appl. Math. Comput., 2015
2014
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation.
SIAM J. Numer. Anal., 2014
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation.
Numer. Algorithms, 2014
Stability and convergence of a finite volume method for the space fractional advection-dispersion equation.
J. Comput. Appl. Math., 2014
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media.
Comput. Math. Appl., 2014
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media.
Comput. Math. Appl., 2014
Numerical analysis of a new space-time variable fractional order advection-dispersion equation.
Appl. Math. Comput., 2014
Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations.
Appl. Math. Comput., 2014
Appl. Math. Comput., 2014
2013
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation.
SIAM J. Sci. Comput., 2013
Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation.
Numer. Algorithms, 2013
A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model.
Comput. Math. Appl., 2013
An implicit numerical method for the two-dimensional fractional percolation equation.
Appl. Math. Comput., 2013
2012
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation.
Math. Comput., 2012
Numerical methods and analysis for a class of fractional advection-dispersion models.
Comput. Math. Appl., 2012
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain.
Comput. Math. Appl., 2012
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D.
Appl. Math. Comput., 2012
Appl. Math. Comput., 2012
The analytical solution and numerical solution of the fractional diffusion-wave equation with damping.
Appl. Math. Comput., 2012
2011
Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions.
SIAM J. Sci. Comput., 2011
Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation.
Numer. Algorithms, 2011
A novel implicit finite difference method for the one-dimensional fractional percolation equation.
Numer. Algorithms, 2011
J. Comput. Appl. Math., 2011
Int. J. Model. Identif. Control., 2011
Joint time-frequency-power resource allocation for low-medium-altitude platforms-based WiMAX networks.
IET Commun., 2011
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems.
Comput. Math. Appl., 2011
Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid.
Comput. Math. Appl., 2011
Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term.
Appl. Math. Comput., 2011
2010
Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation.
SIAM J. Sci. Comput., 2010
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation.
Numer. Algorithms, 2010
Galerkin finite element approximation of symmetric space-fractional partial differential equations.
Appl. Math. Comput., 2010
Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium.
Appl. Math. Comput., 2010
2009
Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term.
SIAM J. Numer. Anal., 2009
Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term.
J. Comput. Appl. Math., 2009
Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation.
Appl. Math. Comput., 2009
2008
New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation.
SIAM J. Numer. Anal., 2008
Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation.
Appl. Math. Comput., 2008
Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives.
Appl. Math. Comput., 2008
Human Action Recognition Using Manifold Learning and Hidden Conditional Random Fields.
Proceedings of the 9th International Conference for Young Computer Scientists, 2008
Proceedings of the 19th International Conference on Pattern Recognition (ICPR 2008), 2008
2007
Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method.
J. Comput. Phys., 2007
J. Comput. Phys., 2007
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation.
Appl. Math. Comput., 2007
Vision-Based 3D Articulated Pose Tracking Using Particle Filtering and Model Constraints.
Proceedings of the Third International IEEE Conference on Signal-Image Technologies and Internet-Based System, 2007
2003
Tides as phase-modulated waves inducing periodic groundwater flow in coastal aquifers overlaying a sloping impervious base.
Environ. Model. Softw., 2003