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Fawang Liu
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- affiliation: Queensland University of Technology, School of Mathematical Sciences, Brisbane, QLD, Australia
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2020 – today
- 2024
- [j131]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): 1-30 (2024) - [j130]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): 1643-1714 (2024) - 2023
- [j129]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: 473-490 (2023) - [j128]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: 107368 (2023) - [j127]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: 114959 (2023) - [j126]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: 115179 (2023) - [j125]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: 387-407 (2023) - [j124]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: 517-537 (2023) - 2022
- [j123]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: 127188 (2022) - [j122]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: 127423 (2022) - [j121]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: 160-173 (2022) - [j120]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: 159-173 (2022) - [j119]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: 106666 (2022) - [j118]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: 113712 (2022) - 2021
- [j117]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: 94-103 (2021) - [j116]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: 153-161 (2021) - [j115]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: 81-98 (2021) - [j114]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: 113337 (2021) - [j113]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: 113519 (2021) - [j112]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): 1443-1474 (2021) - [j111]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): 499-520 (2021) - [i2]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 abs/2112.07814 (2021) - 2020
- [j110]Minling Zheng, Fawang Liu
, Zhengmeng Jin:
The global analysis on the spectral collocation method for time fractional Schrödinger equation. Appl. Math. Comput. 365 (2020) - [j109]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: 106247 (2020) - [j108]Botong Li
, Fawang Liu
:
Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface. Comput. Math. Appl. 79(8): 2376-2387 (2020) - [j107]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): 923-939 (2020) - [j106]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): 1523-1537 (2020) - [j105]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): 3173-3192 (2020) - [j104]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) - [j103]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) - [j102]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: 109284 (2020) - [i1]Libo Feng, Pinghui Zhuang, Fawang Liu, Ian W. Turner, Jing Li:
High-order numerical methods for the Riesz space fractional advection-dispersion equations. CoRR abs/2003.13923 (2020)
2010 – 2019
- 2019
- [j101]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: 1-12 (2019) - [j100]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: 143-149 (2019) - [j99]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): 1243 (2019) - [j98]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): 1261-1273 (2019) - [j97]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): 1621-1636 (2019) - [j96]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): 1637-1650 (2019) - [j95]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): 2618-2631 (2019) - [j94]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: 354-371 (2019) - [j93]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: 515-534 (2019) - [j92]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: 437-452 (2019) - [j91]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): 533-555 (2019) - [j90]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): 1467-1495 (2019) - 2018
- [j89]Yuanlu Li
, Fawang Liu, Ian W. Turner, Tao Li:
Time-fractional diffusion equation for signal smoothing. Appl. Math. Comput. 326: 108-116 (2018) - [j88]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: 213-224 (2018) - [j87]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: 290-304 (2018) - [j86]Hongmei Zhang, Fawang Liu
, Shanzhen 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: 186-198 (2018) - [j85]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: 114-121 (2018) - [j84]Lin Liu
, Fawang Liu
:
Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness. Appl. Math. Lett. 79: 92-99 (2018) - [j83]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): 7-21 (2018) - [j82]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): 965-980 (2018) - [j81]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): 1226-1236 (2018) - [j80]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): 3786-3800 (2018) - [j79]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): 245-256 (2018) - [j78]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): 2460-2476 (2018) - [j77]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: 270-286 (2018) - [j76]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: 135-144 (2018) - [j75]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: 114-126 (2018) - [j74]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): 27-52 (2018) - [j73]Farah Aini 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): 19-40 (2018) - [j72]Xiaogang Zhu, Zhanbin Yuan, Fawang Liu, Yufeng Nie
:
Differential quadrature method for space-fractional diffusion equations on 2D irregular domains. Numer. Algorithms 79(3): 853-877 (2018) - 2017
- [j71]Yong Zhou, Michal Feckan
, Fawang Liu, J. A. Tenreiro Machado
:
Advances in fractional differential equations (IV): Time-fractional PDEs. Comput. Math. Appl. 73(6): 873 (2017) - [j70]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): 1087-1099 (2017) - [j69]Libo Feng
, Pinghui 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): 1155-1171 (2017) - [j68]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): 772-783 (2017) - [j67]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): 1903-1914 (2017) - [j66]Linlin Zhao, Fawang Liu
, Vo V. Anh:
Numerical methods for the two-dimensional multi-term time-fractional diffusion equations. Comput. Math. Appl. 74(10): 2253-2268 (2017) - [j65]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: 308-319 (2017) - [j64]Zongze Yang
, Zhanbin Yuan
, Yufeng Nie, Jungang Wang
, Xiaogang Zhu, Fawang Liu
:
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains. J. Comput. Phys. 330: 863-883 (2017) - [j63]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: 493-510 (2017) - [j62]Hongmei Zhang, Fawang Liu, Ian W. Turner, Shanzhen Chen, Qianqian Yang
:
Numerical simulation of a Finite Moment Log Stable model for a European call option. Numer. Algorithms 75(3): 569-585 (2017) - 2016
- [j61]Yanmin Zhao, Yadong Zhang, Dongyang Shi, Fawang Liu
, Ian W. Turner
:
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Appl. Math. Lett. 59: 38-47 (2016) - [j60]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): 1772-1783 (2016) - [j59]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): 2084-2097 (2016) - [j58]Mingyang Pan, Liancun Zheng
, Fawang Liu, Xinxin Zhang:
Lie group analysis and similarity solution for fractional Blasius flow. Commun. Nonlinear Sci. Numer. Simul. 37: 90-101 (2016) - [j57]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: 45-58 (2016) - [j56]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): 393-407 (2016) - [j55]Pinghui 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): 447-466 (2016) - [j54]Libo Feng
, Pinghui Zhuang, Fawang Liu, Ian W. Turner
, Yuantong Gu
:
Finite element method for space-time fractional diffusion equation. Numer. Algorithms 72(3): 749-767 (2016) - [j53]Shanzhen 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): 606-624 (2016) - 2015
- [j52]Q. Liu, Fawang Liu, Yuantong Gu
, Pinghui 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: 930-938 (2015) - [j51]Libo Feng
, Pinghui 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: 52-65 (2015) - [j50]Xiuling Hu, Hong-Lin Liao
, Fawang Liu, Ian W. Turner
:
A center Box method for radially symmetric solution of fractional subdiffusion equation. Appl. Math. Comput. 257: 467-486 (2015) - [j49]Shanzhen 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: 591-601 (2015) - [j48]Shanzhen 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: 119-129 (2015) - [j47]Fawang Liu
, Pinghui 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: 252-263 (2015) - [j46]Haiping Ye, Fawang Liu
, Vo Anh:
Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. J. Comput. Phys. 298: 652-660 (2015) - [j45]Shujun Shen, Fawang Liu, Q. Liu, Vo Anh:
Numerical simulation of anomalous infiltration in porous media. Numer. Algorithms 68(3): 443-454 (2015) - [j44]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) - [j43]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) - 2014
- [j42]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: 336-347 (2014) - [j41]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: 531-540 (2014) - [j40]Hongmei Zhang, Fawang Liu, Pinghui Zhuang, Ian W. Turner
, Vo Anh:
Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Appl. Math. Comput. 242: 541-550 (2014) - [j39]Shanzhen 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): 1673-1681 (2014) - [j38]Shiping 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): 2133-2141 (2014) - [j37]Qiang Yu
, Fawang Liu, Ian W. Turner
, Kevin Burrage
:
Numerical simulation of the fractional Bloch equations. J. Comput. Appl. Math. 255: 635-651 (2014) - [j36]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: 684-697 (2014) - [j35]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): 911-932 (2014) - [j34]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): 2599-2622 (2014) - 2013
- [j33]Shanzhen Chen, Fawang Liu, Ian W. Turner
, Vo Anh:
An implicit numerical method for the two-dimensional fractional percolation equation. Appl. Math. Comput. 219(9): 4322-4331 (2013) - [j32]Hongmei Zhang, Fawang Liu, Mantha S. Phanikumar, Mark M. Meerschaert:
A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. Comput. Math. Appl. 66(5): 693-701 (2013) - [j31]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): 265-290 (2013) - [j30]Fanhai Zeng
, Changpin Li, Fawang Liu, Ian W. Turner
:
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation. SIAM J. Sci. Comput. 35(6) (2013) - 2012
- [j29]Shujun Shen, Fawang Liu, J. Chen, Ian W. Turner
, Vo Anh:
Numerical techniques for the variable order time fractional diffusion equation. Appl. Math. Comput. 218(22): 10861-10870 (2012) - [j28]J. Chen, Fawang Liu, Vo Anh, Shujun Shen, Q. Liu, C. Liao:
The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. Appl. Math. Comput. 219(4): 1737-1748 (2012) - [j27]Qiang Yu
, Fawang Liu, Ian W. Turner
, Kevin Burrage
:
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Appl. Math. Comput. 219(8): 4082-4095 (2012) - [j26]Fawang Liu, Pinghui Zhuang, Kevin Burrage
:
Numerical methods and analysis for a class of fractional advection-dispersion models. Comput. Math. Appl. 64(10): 2990-3007 (2012) - [j25]H. Jiang, Fawang Liu, Ian W. Turner
, Kevin Burrage
:
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Comput. Math. Appl. 64(10): 3377-3388 (2012) - [j24]Chang-Ming Chen, Fawang Liu, Vo Anh, Ian W. Turner
:
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Math. Comput. 81(277): 345-366 (2012) - 2011
- [j23]Chang-Ming Chen, Fawang Liu, Vo Anh, Ian W. Turner
:
Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Appl. Math. Comput. 217(12): 5729-5742 (2011) - [j22]Fawang Liu, Kevin Burrage
:
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Comput. Math. Appl. 62(3): 822-833 (2011) - [j21]Chang-Ming Chen, Fawang Liu, Ian W. Turner
, Vo Anh:
Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid. Comput. Math. Appl. 62(3): 971-986 (2011) - [j20]Liqiang Zhao, Li Cong, Fawang Liu, Kun Yang, Hongmei Zhang:
Joint time-frequency-power resource allocation for low-medium-altitude platforms-based WiMAX networks. IET Commun. 5(7): 967-974 (2011) - [j19]Fawang Liu, Hongbin Deng:
Human action recognition from silhouettes using manifold learning and MDA. Int. J. Model. Identif. Control. 12(1/2): 36-41 (2011) - [j18]Chang-Ming Chen, Fawang Liu, Kevin Burrage
:
Numerical analysis for a variable-order nonlinear cable equation. J. Comput. Appl. Math. 236(2): 209-224 (2011) - [j17]Shujun Shen, Fawang Liu, Vo Anh:
Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Numer. Algorithms 56(3): 383-403 (2011) - [j16]Shanzhen Chen, Fawang Liu, Vo Anh:
A novel implicit finite difference method for the one-dimensional fractional percolation equation. Numer. Algorithms 56(4): 517-535 (2011) - [j15]Qianqian Yang
, Ian W. Turner
, Fawang Liu, Milos Ilic:
Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions. SIAM J. Sci. Comput. 33(3): 1159-1180 (2011) - 2010
- [j14]Milos Ilic, Ian W. Turner
, Fawang Liu, Vo Anh:
Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Appl. Math. Comput. 216(8): 2248-2262 (2010) - [j13]Hongmei Zhang, Fawang Liu, Vo Anh:
Galerkin finite element approximation of symmetric space-fractional partial differential equations. Appl. Math. Comput. 217(6): 2534-2545 (2010) - [j12]Chang-Ming Chen, Fawang Liu, Ian W. Turner
, Vo Anh:
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Numer. Algorithms 54(1): 1-21 (2010) - [j11]Chang-Ming Chen, Fawang Liu, Vo Anh, Ian W. Turner
:
Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation. SIAM J. Sci. Comput. 32(4): 1740-1760 (2010)
2000 – 2009
- 2009
- [j10]R. Lin, Fawang Liu, Vo Anh, Ian W. Turner
:
Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation. Appl. Math. Comput. 212(2): 435-445 (2009) - [j9]Fawang Liu, C. Yang, Kevin Burrage
:
Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. J. Comput. Appl. Math. 231(1): 160-176 (2009) - [j8]Pinghui Zhuang, Fawang Liu, Vo Anh, Ian W. Turner
:
Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term. SIAM J. Numer. Anal. 47(3): 1760-1781 (2009) - 2008
- [j7]Chang-Ming Chen, Fawang Liu, Kevin Burrage
:
Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation. Appl. Math. Comput. 198(2): 754-769 (2008) - [j6]Chang-Ming Chen, Fawang Liu, Vo Anh:
Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. Appl. Math. Comput. 204(1): 340-351 (2008) - [j5]Pinghui Zhuang, Fawang Liu, Vo Anh, Ian W. Turner
:
New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation. SIAM J. Numer. Anal. 46(2): 1079-1095 (2008) - [c3]Fawang Liu, Yunde Jia:
Violence classification based on shape variations from multiple views. ICPR 2008: 1-4 - [c2]Fawang Liu, Yunde Jia:
Human Action Recognition Using Manifold Learning and Hidden Conditional Random Fields. ICYCS 2008: 693-698 - 2007
- [j4]Fawang Liu, Pinghui Zhuang, Vo Anh, Ian W. Turner
, Kevin Burrage
:
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Appl. Math. Comput. 191(1): 12-20 (2007) - [j3]Q. Liu, Fawang Liu, Ian W. Turner
, Vo Anh:
Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method. J. Comput. Phys. 222(1): 57-70 (2007) - [j2]Chang-Ming Chen, Fawang Liu, Ian W. Turner
, Vo Anh:
A Fourier method for the fractional diffusion equation describing sub-diffusion. J. Comput. Phys. 227(2): 886-897 (2007) - [c1]Fawang Liu, Gangyi Ding, Xiao Deng, Yihua Xu:
Vision-Based 3D Articulated Pose Tracking Using Particle Filtering and Model Constraints. SITIS 2007: 959-964 - 2003
- [j1]Ninghu Su, Fawang Liu, Vo Anh:
Tides as phase-modulated waves inducing periodic groundwater flow in coastal aquifers overlaying a sloping impervious base. Environ. Model. Softw. 18(10): 937-942 (2003)
Coauthor Index
aka: Vo Anh
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