Fawang Liu

ORCID

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 90

Top Venues

Comput. Math. Appl.

J. Comput. Appl. Math.

Appl. Math. Comput.

Numer. Algorithms

Publications

Shanshan Peng, Meng Li, Yanmin Zhao, Fawang Liu, Fangfang Cao
Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay. Numer. Algorithms 95 (4) (2024)
Xingyu An, Qingxia (Jenny) Wang, Fawang Liu, Vo V. Anh, Ian W. Turner
Parameter estimation for time-fractional Black-Scholes equation with S &P 500 index option. Numer. Algorithms 95 (1) (2024)
Hui Yu, Fawang Liu, Mingxia Li, Vo V. Anh
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. 429 (2023)
Libo Feng, Fawang Liu, Vo V. Anh
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. 206 (2023)
Libo Feng, Ian W. Turner, Timothy J. Moroney, Fawang Liu
Fractional potential: A new perspective on the fractional Laplacian problem on bounded domains. Commun. Nonlinear Sci. Numer. Simul. 125 (2023)
Yi Liu, Fawang Liu, Xiaoyun Jiang
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. 151 (2023)
Yuxuan Niu, Yang Liu, Hong Li, Fawang Liu
Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media. Math. Comput. Simul. 203 (2023)
Shuying Zhai, Zhifeng Weng, Qingqu Zhuang, Fawang Liu, Vo Anh
An effective operator splitting method based on spectral deferred correction for the fractional Gray-Scott model. J. Comput. Appl. Math. 425 (2023)
Mengchen Zhang, Fawang Liu, Ian W. Turner, Vo V. Anh
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. 114 (2022)
Qiang Yu, Ian W. Turner, Fawang Liu, Viktor Vegh
The application of the distributed-order time fractional Bloch model to magnetic resonance imaging. Appl. Math. Comput. 427 (2022)
Yabing Wei, Shujuan Lü, Fenling Wang, Fawang Liu, Yanmin Zhao
Global superconvergence analysis of nonconforming finite element method for time fractional reaction-diffusion problem with anisotropic data. Comput. Math. Appl. 119 (2022)
Libo Feng, Ian W. Turner, Timothy J. Moroney, Fawang Liu
An investigation of space distributed-order models for simulating anomalous transport in a binary medium. Appl. Math. Comput. 434 (2022)
Yanqin Liu, Xiuling Yin, Fawang Liu, Xiaoyi Xin, Yanfeng Shen, Libo Feng
An alternating direction implicit legendre spectral method for simulating a 2D multi-term time-fractional Oldroyd-B fluid type diffusion equation. Comput. Math. Appl. 113 (2022)
Hui Zhang, Fawang Liu, Xiaoyun Jiang, Ian W. Turner
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. J. Comput. Appl. Math. 399 (2022)
Libo Feng, Fawang Liu, Vo V. Anh, Shanlin Qin
Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem. CoRR (2021)
Junjiang Lai, Fawang Liu, Vo V. Anh, Qingxia Liu
A space-time finite element method for solving linear Riesz space fractional partial differential equations. Numer. Algorithms 88 (1) (2021)
Ying Wang, Fawang Liu, Liquan Mei, Vo V. Anh
A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. Numer. Algorithms 86 (4) (2021)
Shuiping Yang, Fawang Liu, Libo Feng, Ian W. Turner
A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients. J. Comput. Appl. Math. 388 (2021)
Qingxia Liu, Pinghui Zhuang, Fawang Liu, Minling Zheng, Shanzhen Chen
Radial point interpolation collocation method based approximation for 2D fractional equation models. Comput. Math. Appl. 97 (2021)
Weidong Yang, Xuehui Chen, Xinru Zhang, Liancun Zheng, Fawang Liu
Flow and heat transfer of viscoelastic fluid with a novel space distributed-order constitution relationship. Comput. Math. Appl. 94 (2021)
Mengchen Zhang, Fawang Liu, Ian W. Turner, Vo V. Anh, Libo Feng
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. 98 (2021)
Tao Xu, Fawang Liu, Shujuan Lü, Vo V. Anh
Numerical approximation of 2D multi-term time and space fractional Bloch-Torrey equations involving the fractional Laplacian. J. Comput. Appl. Math. 393 (2021)
Botong Li, Fawang Liu
Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface. Comput. Math. Appl. 79 (8) (2020)
Libo Feng, Fawang Liu, Ian W. Turner
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains. J. Comput. Appl. Math. 364 (2020)
Zongze Yang, Fawang Liu, Yufeng Nie, Ian W. Turner
An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains. J. Comput. Phys. 408 (2020)
Lang Li, Fawang Liu, Libo Feng, Ian W. Turner
A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation. J. Comput. Appl. Math. 368 (2020)
Xinghua Gao, Fawang Liu, Hong Li, Yang Liu, Ian W. Turner, Baoli Yin
A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. Comput. Math. Appl. 80 (5) (2020)
Libo Feng, Pinghui Zhuang, Fawang Liu, Ian W. Turner, Jing Li
High-order numerical methods for the Riesz space fractional advection-dispersion equations. CoRR (2020)
Rumeng Zheng, Fawang Liu, Xiaoyun Jiang
A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions. Appl. Math. Lett. 104 (2020)
Tao Xu, Fawang Liu, Shujuan Lü, Vo V. Anh
Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains. Comput. Math. Appl. 80 (12) (2020)
Minling Zheng, Fawang Liu, Zhengmeng Jin
The global analysis on the spectral collocation method for time fractional Schrödinger equation. Appl. Math. Comput. 365 (2020)
Rumeng Zheng, Fawang Liu, Xiaoyun Jiang, Ian W. Turner
Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation. Comput. Math. Appl. 80 (6) (2020)
Ruige Chen, Fawang Liu, Vo Anh
Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications. J. Comput. Appl. Math. 352 (2019)
Mengchen Zhang, Ming Shen, Fawang Liu, Hongmei Zhang
A new time and spatial fractional heat conduction model for Maxwell nanofluid in porous medium. Comput. Math. Appl. 78 (5) (2019)
Yong Zhou, Michal Feckan, Fawang Liu, J. A. Tenreiro Machado
Special Issue: Advances in Fractional Differential Equations (V): Time-Space Fractional PDEs. Comput. Math. Appl. 78 (5) (2019)
Yang Liu, Yanwei Du, Hong Li, Fawang Liu, Yajun Wang
Some second-order ϴ schemes combined with finite element method for nonlinear fractional cable equation. Numer. Algorithms 80 (2) (2019)
Jinghua Zhang, Fawang Liu, Zeng Lin, Vo Anh
Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model. Appl. Math. Comput. 356 (2019)
Xuehui Chen, Weidong Yang, Xinru Zhang, Fawang Liu
Unsteady boundary layer flow of viscoelastic MHD fluid with a double fractional Maxwell model. Appl. Math. Lett. 95 (2019)
Tianzeng Li, Yu Wang, Fawang Liu, Ian W. Turner
Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever. Numer. Algorithms 82 (4) (2019)
Chunyan Liu, Liancun Zheng, Mingyang Pan, Ping Lin, Fawang Liu
Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium. Comput. Math. Appl. 78 (8) (2019)
Ruige Chen, Fawang Liu, Vo Anh
A fractional alternating-direction implicit method for a multi-term time-space fractional Bloch-Torrey equations in three dimensions. Comput. Math. Appl. 78 (5) (2019)
Shujun Shen, Fawang Liu, Vo V. Anh
The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation. J. Comput. Appl. Math. 345 (2019)
Libo Feng, Fawang Liu, Ian W. Turner
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. 70 (2019)
Fawang Liu, Libo Feng, Vo Anh, Jing Li
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. 78 (5) (2019)
Lin Liu, Liancun Zheng, Yu Fan, Yanping Chen, Fawang Liu
Comb model for the anomalous diffusion with dual-phase-lag constitutive relation. Commun. Nonlinear Sci. Numer. Simul. 63 (2018)
Z. G. Shi, Yanmin Zhao, Fawang Liu, Fenling Wang, Yifa Tang
Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes. Appl. Math. Comput. 338 (2018)
Yuanlu Li, Fawang Liu, Ian W. Turner, Tao Li
Time-fractional diffusion equation for signal smoothing. Appl. Math. Comput. 326 (2018)
Hui Zhang, Fawang Liu, Xiaoyun Jiang, Fanhai Zeng, Ian W. Turner
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. Comput. Math. Appl. 76 (10) (2018)
Fenling Wang, Fawang Liu, Yanmin Zhao, Yanhua Shi, Z. G. Shi
A novel approach of high accuracy analysis of anisotropic bilinear finite element for time-fractional diffusion equations with variable coefficient. Comput. Math. Appl. 75 (10) (2018)
Hongmei Zhang, Fawang Liu, S. Chen, Vo Anh, J. Chen
Fast numerical simulation of a new time-space fractional option pricing model governing European call option. Appl. Math. Comput. 339 (2018)
Shanlin Qin, Fawang Liu, Ian W. Turner
A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. Commun. Nonlinear Sci. Numer. Simul. 56 (2018)
F. A. Abdullah, Fawang Liu, Pamela M. Burrage, Kevin Burrage, T. Li
Novel analytical and numerical techniques for fractional temporal SEIR measles model. Numer. Algorithms 79 (1) (2018)
Mingyang Pan, Liancun Zheng, Chunyan Liu, Fawang Liu, Ping Lin, Goong Chen
A stochastic model for thermal transport of nanofluid in porous media: Derivation and applications. Comput. Math. Appl. 75 (4) (2018)
Zeting Liu, Shujuan Lü, Fawang Liu
Fully discrete spectral methods for solving time fractional nonlinear Sine-Gordon equation with smooth and non-smooth solutions. Appl. Math. Comput. 333 (2018)
Lin Liu, Liancun Zheng, Yanping Chen, Fawang Liu
Anomalous diffusion in comb model with fractional dual-phase-lag constitutive relation. Comput. Math. Appl. 76 (2) (2018)
X. G. Zhu, Z. B. Yuan, Fawang Liu, Yufeng Nie
Differential quadrature method for space-fractional diffusion equations on 2D irregular domains. Numer. Algorithms 79 (3) (2018)
Wenping Fan, Fawang Liu
A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain. Appl. Math. Lett. 77 (2018)
Shanlin Qin, Fawang Liu, Ian W. Turner, Qianqian Yang, Qiang Yu
Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. Comput. Math. Appl. 75 (1) (2018)
Wenping Fan, Xiaoyun Jiang, Fawang Liu, Vo Anh
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. 77 (1) (2018)
W. Fan, Fawang Liu, X. Jiang, Ian W. Turner
Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation. J. Comput. Appl. Math. 336 (2018)
Yan Zhang, Haojie Zhao, Fawang Liu, Yun Bai
Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient. Comput. Math. Appl. 75 (3) (2018)
Lin Liu, Fawang Liu
Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness. Appl. Math. Lett. 79 (2018)
Minling Zheng, Fawang Liu, Qingxia Liu, Kevin Burrage, Matthew J. Simpson
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. J. Comput. Phys. 338 (2017)
Z. G. Shi, Yanmin Zhao, Fawang Liu, Yifa Tang, Fenling Wang, Yanhua Shi
High accuracy analysis of an -Galerkin mixed finite element method for two-dimensional time fractional diffusion equations. Comput. Math. Appl. 74 (8) (2017)
Hongmei Zhang, Fawang Liu, Ian W. Turner, S. Chen, Qianqian Yang
Numerical simulation of a Finite Moment Log Stable model for a European call option. Numer. Algorithms 75 (3) (2017)
Yong Zhou, Michal Feckan, Fawang Liu, J. A. Tenreiro Machado
Advances in fractional differential equations (IV): Time-fractional PDEs. Comput. Math. Appl. 73 (6) (2017)
J. Li, Fawang Liu, Libo Feng, Ian W. Turner
A novel finite volume method for the Riesz space distributed-order diffusion equation. Comput. Math. Appl. 74 (4) (2017)
Yanmin Zhao, Yadong Zhang, Fawang Liu, Ian W. Turner, Yifa Tang, Vo V. Anh
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Comput. Math. Appl. 73 (6) (2017)
Libo Feng, P. Zhuang, Fawang Liu, Ian W. Turner, Vo V. Anh, J. Li
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Comput. Math. Appl. 73 (6) (2017)
Zongze Yang, Zhanbin Yuan, Yufeng Nie, Jungang Wang, X. Zhu, Fawang Liu
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains. J. Comput. Phys. 330 (2017)
Shanlin Qin, Fawang Liu, Ian W. Turner, Viktor Vegh, Qiang Yu, Qianqian Yang
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging. J. Comput. Appl. Math. 319 (2017)
Linlin Zhao, Fawang Liu, Vo V. Anh
Numerical methods for the two-dimensional multi-term time-fractional diffusion equations. Comput. Math. Appl. 74 (10) (2017)
Mingyang Pan, Liancun Zheng, Fawang Liu, Xinxin Zhang
Lie group analysis and similarity solution for fractional Blasius flow. Commun. Nonlinear Sci. Numer. Simul. 37 (2016)
Y. Zhao, Y. Zhang, D. Shi, Fawang Liu, Ian W. Turner
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Appl. Math. Lett. 59 (2016)
P. Zhuang, Fawang Liu, Ian W. Turner, Vo V. Anh
Galerkin finite element method and error analysis for the fractional cable equation. Numer. Algorithms 72 (2) (2016)
S. Chen, Fawang Liu, X. Jiang, Ian W. Turner, Kevin Burrage
Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients. SIAM J. Numer. Anal. 54 (2) (2016)
Lin Liu, Liancun Zheng, Fawang Liu, Xinxin Zhang
Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux. Commun. Nonlinear Sci. Numer. Simul. 38 (2016)
Chunying Ming, Fawang Liu, Liancun Zheng, Ian W. Turner, Vo Anh
Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Comput. Math. Appl. 72 (9) (2016)
Hongmei Zhang, Fawang Liu, Ian W. Turner, Qianqian Yang
Numerical solution of the time fractional Black-Scholes model governing European options. Comput. Math. Appl. 71 (9) (2016)
Xiuling Hu, Fawang Liu, Ian W. Turner, Vo V. Anh
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Numer. Algorithms 72 (2) (2016)
Libo Feng, P. Zhuang, Fawang Liu, Ian W. Turner, Yuantong Gu
Finite element method for space-time fractional diffusion equation. Numer. Algorithms 72 (3) (2016)
Fanhai Zeng, Changpin Li, Fawang Liu, Ian W. Turner
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy. SIAM J. Sci. Comput. 37 (1) (2015)
Haiping Ye, Fawang Liu, Vo Anh
Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. J. Comput. Phys. 298 (2015)
S. Chen, Fawang Liu, X. Jiang, Ian W. Turner, Vo Anh
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Appl. Math. Comput. 257 (2015)
Q. Liu, Fawang Liu, Yuantong Gu, P. Zhuang, J. Chen, Ian W. Turner
A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation. Appl. Math. Comput. 256 (2015)
S. Chen, X. Jiang, Fawang Liu, Ian W. Turner
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. J. Comput. Appl. Math. 278 (2015)
Minling Zheng, Fawang Liu, Ian W. Turner, Vo Anh
A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker-Planck Equation. SIAM J. Sci. Comput. 37 (2) (2015)
Shujun Shen, Fawang Liu, Q. Liu, Vo Anh
Numerical simulation of anomalous infiltration in porous media. Numer. Algorithms 68 (3) (2015)
Libo Feng, P. Zhuang, Fawang Liu, Ian W. Turner
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Appl. Math. Comput. 257 (2015)
Fawang Liu, P. Zhuang, Ian W. Turner, Vo Anh, Kevin Burrage
A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain. J. Comput. Phys. 293 (2015)
Hala Hejazi, Timothy J. Moroney, Fawang Liu
Stability and convergence of a finite volume method for the space fractional advection-dispersion equation. J. Comput. Appl. Math. 255 (2014)
Q. Liu, Fawang Liu, Ian W. Turner, Vo Anh, Yuantong Gu
A RBF meshless approach for modeling a fractal mobile/immobile transport model. Appl. Math. Comput. 226 (2014)
Haiping Ye, Fawang Liu, Vo Anh, Ian W. Turner
Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Appl. Math. Comput. 227 (2014)
S. Chen, Fawang Liu, Kevin Burrage
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Comput. Math. Appl. 67 (9) (2014)
S. Chen, Fawang Liu, Kevin Burrage
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Comput. Math. Appl. 68 (12) (2014)
Fanhai Zeng, Fawang Liu, Changpin Li, Kevin Burrage, Ian W. Turner, Vo Anh
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. SIAM J. Numer. Anal. 52 (6) (2014)
Qiang Yu, Fawang Liu, Ian W. Turner, Kevin Burrage
Numerical simulation of the fractional Bloch equations. J. Comput. Appl. Math. 255 (2014)
Hongmei Zhang, Fawang Liu, P. Zhuang, Ian W. Turner, Vo Anh
Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Appl. Math. Comput. 242 (2014)
J. Song, Qiang Yu, Fawang Liu, Ian W. Turner
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Numer. Algorithms 66 (4) (2014)
Chang-Ming Chen, Fawang Liu, Ian W. Turner, Vo Anh, Y. Chen
Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Numer. Algorithms 63 (2) (2013)

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Publication Activity (10 Years)

Top Topics

Top Venues

Fawang Liu