Dr Libo Feng

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PROFESSIONAL PREPARATION

2015.12— 2019.3  Applied and Computational Mathematics,  Queensland University of Technology, Ph.D.

PROFESSIONAL EXPERIENCE

2021.08–                Research Associate, QUT, Supervisor: Prof. Ian Turner.

2020.09–2021.07,  Research Associate, QUT, Supervisor: Prof. Fawang Liu.

2019.04–2020.08,  Research Associate, QUT, Supervisor: Prof. Ian Turner.

RESEARCH INTERESTS

Numerical methods of PDE,  Numerical analysis of PDE,  Fractional calculus,  Application of mathematical models,  Non-Newtonian fluid models

Google Scholar Profile      Research Gate Profile

Special Issue: Numerical Solution and Applications of Fractional Differential Equations

Thesis

Feng, Libo (2019) Numerical investigation and application of fractional dynamical systems. PhD by Publication, Queensland University of Technology.

Papers Published in Refereed Journals

  • Y. Liu, X. Yin, F. Liu, X. Xin, Y. Shen, L. Feng, An alternating direction implicit Legendre spectral method for simulating a 2D multi-term time-fractional Oldroyd-B fluid type diffusion equation, Computers and Mathematics with Applications 113 (2022) 160–173.
  • Z. Long, L. Liu, S. Yang, L. Feng, L. Zheng, Analysis of Marangoni boundary layer flow and heat transfer with novel constitution relationships, International Communications in Heat and Mass Transfer 127 (2021) 105523.
  • M. Zhang, F. Liu, I.W. Turner, V.V. Anh, L. Feng, A finite volume method for the two-dimensional time and space variable-order fractional Bloch-Torrey equation with variable coefficients on irregular domains, Computers and Mathematics with Applications 98 (2021) 81–98.
  • S. Yang, L. Liu, Z. Long, L. Feng, Unsteady natural convection boundary layer flow and heat transfer past a vertical flat plate with novel constitution models, Applied Mathematics Letters 120 (2021) 107335.
  • L. Liu, S. Yang, L. Feng, Q. Xu, L. Zheng, F. Liu, Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model, Int. J. Biomath. (2021) 2150048.
  • J. Li, Y. Yang, Y. Jiang, L. Feng, B. Guo, High-order numerical method for solving a space distributed-order time-fractional diffusion equation, Acta Mathematica Scientia 41 (2021) 801–826.
  • S. Yang, F. Liu, L. Feng, I. 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) 113337.
  • L. Feng*, I. Turner, P. Perre, K. Burrage, An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media, Communications in Nonlinear Science and Numerical Simulation 92 (2021) 105454.
  • L. Liu, L. Feng, Q. Xu, L. Zheng, F. Liu, Flow and heat transfer of generalized Maxwell fluid over a moving plate with distributed order time fractional constitutive models, International Communications in Heat and Mass Transfer, 116 (2020) 104679.
  • S. Yang, F. Liu, L. Feng, I. W. Turner, Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients, Applied Numerical Mathematics 157 (2020) 55-68.
  • M. Mahiuddin, D. Godhani, L. Feng, F. Liu, T. Langrish, M.A. Karim, Application of Caputo fractional rheological model to determine the viscoelastic and mechanical properties of fruit and vegetables, Postharvest Biology and Technology 163 (2020) 111147.
  • L. Feng*, Numerical investigation and application of fractional dynamical systems, Bull. Aust. Math. Soc. 101 (1) (2020), 163-165.
  • Y. Liu, H. Sun, X. Yin, L. Feng, Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation, Z. Angew. Math. Phys. 71 (2020) 21.
  • L. Liu, L. Feng, Q. Xu, Y. Chen, Anomalous diffusion in comb model subject to a novel distributed order time fractional Cattaneo-Christov flux, Applied Mathematics Letters 102 (2020) 106116.
  • L. Li, F. Liu, L. Feng, I. Turner, A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation, Journal of Computational and Applied Mathematics 368 (2020) 112589.
  • L. Feng, F. Liu, I. Turner, An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains, Journal of Computational and Applied Mathematics 364 (2020) 112319.
  • F. Liu, L. Feng, V. Anh, J. Li, Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains, Computers and Mathematics with Applications 78 (2019) 1637–1650.
  • L. Feng, F. Liu, I. Turner, Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains, Communications in Nonlinear Science and Numerical Simulation 70 (2019) 354–371.
  • L. Feng, F. Liu, I. Turner, L. Zheng, Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid, Fractional Calculus and Applied Analysis 21(4) (2018) 1073–1103.
  • L. Feng, F. Liu, I. Turner, Q. Yang, P. Zhuang, Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains, Applied Mathematical Modelling 59 (2018) 441–463.
  • Y. Liu, X. Yin, L. Feng, H. Sun, Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model, Advances in Difference Equations (2018) 2018:442.
  • L. Feng, F. Liu, I. Turner, P. Zhuang, Numerical methods and analysis for simulating the flow of a generalized Oldroyd-B fluid between two infinite parallel rigid plates, International Journal of Heat and Mass Transfer 115 (2017) 1309-1320.
  • L. Feng, P. Zhuang, F. Liu, I. Turner, V. Anh, J. Li, A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients, Computers & Mathematics with Applications 73 (2017) 1155-1171.
  • J. Li, F. Liu, L. Feng, I. Turner, A novel finite volume method for the Riesz space distributed-order diffusion equation, Computers & Mathematics with Applications 74 (2017) 772–783.
  • J. Li, F. Liu, L. Feng, I. Turner, A novel finite volume method for the Riesz space distributed-order advection-diffusion equation, Applied Mathematical Modelling 46 (2017) 536–553.
  • L. Feng, P. Zhuang, F. Liu, I. Turner, Y. T. Gu, Finite element method for space-time fractional diffusion equation, Numerical Algorithms 72 (2016) 749-767.
  • L. Feng, P. Zhuang, F. Liu, I. Turner, Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation, Applied Mathematics and Computation 257 (2015) 52-65.
  • L. Feng, P. Zhuang, F. Liu, I. Turner, Q. Yang, Second-order approximation for the space fractional diffusion equation with variable coefficient, Progress in Fractional Differentiation and Applications 1 (2015) 23-35.

Projects