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Mathematics
Australia
2026

D-Index & Metrics

Mathematics

D-Index
68
Citations
16398
World Ranking
316
National Ranking
7

Research.com Recognitions

  • 2026 - Research.com Mathematics in Australia Leader Award
  • 2025 - Research.com Mathematics in Australia Leader Award
  • 2023 - Research.com Mathematics in Australia Leader Award

Overview

Ian Turner is affiliated with the Queensland University of Technology in Australia. Their research primarily focuses on mathematical and engineering applications, with a significant body of work in fractional differential equations and numerical methods.

The scientist has contributed extensively in the fields of Mathematics and Engineering, with 53 publications related to Mathematics and 46 in Engineering. More specialized subfields include Modeling and Simulation, Numerical Analysis, Computational Mechanics, Mechanics of Materials, and Computational Theory and Mathematics.

Key research topics covered by Turner include:

  • Fractional Differential Equations Solutions
  • Differential Equations and Numerical Methods
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods for differential equations
  • Nonlinear Differential Equations Analysis
  • Landslides and related hazards

The scientist's recent papers demonstrate a focus on fractional calculus and numerical approaches for complex differential equations. Notable publications include:

  • An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media (2020), Communications in Nonlinear Science and Numerical Simulation
  • A space-time spectral method for time-fractional Black-Scholes equation (2021), Applied Numerical Mathematics
  • Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain (2021), Journal of Computational and Applied Mathematics
  • High-order numerical methods for the Riesz space fractional advection-dispersion equations (2020), arXiv (Cornell University)
  • A novel finite element method for the distributed-order time fractional Cable equation in two dimensions (2020), Computers & Mathematics with Applications

Frequent co-authors include Fawang Liu, Libo Feng, Vo Anh, Timothy J. Moroney, and Scott W. McCue, reflecting collaborative work primarily in applied mathematics and computational methods.

Turner has published regularly in the following venues:

  • arXiv (Cornell University)
  • Zenodo (CERN European Organization for Nuclear Research)
  • Communications in Nonlinear Science and Numerical Simulation
  • Computers & Mathematics with Applications
  • SSRN Electronic Journal

Best Publications

  • Numerical solution of the space fractional Fokker-Planck equation

    F. Liu;V. Anh;I. Turner

  • Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

    Qianqian Yang;Fawang Liu;Ian Turner

  • Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation

    Fawang Liu;Fawang Liu;Pinghui Zhuang;Vo Anh;Ian Turner

  • Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

    P. Zhuang;F. Liu;V. Anh;I. Turner

  • A Fourier method for the fractional diffusion equation describing sub-diffusion

    Chang-Ming Chen;F. Liu;I. Turner;V. Anh

  • New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

    P. Zhuang;F. Liu;V. Anh;I. Turner

  • A Crank-Nicolson adi spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation

    Fanhai Zeng;Fawang Liu;Changpin Li;Kevin Burrage

  • The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

    Fanhai Zeng;Changpin Li;Fawang Liu;Ian W. Turner

  • Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

    R. Lin;F. Liu;V. Anh;I. Turner

  • Time fractional advection-dispersion equation

    Fawang Liu;Vo Anh;Ian Turner;Pinghui Zhuang

  • Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation

    Chang-Ming Chen;F. Liu;V. Anh;I. Turner

  • Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

    Fanhai Zeng;Changpin Li;Fawang Liu;Ian W. Turner

  • Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions

    Qianqian Yang;Ian Turner;Fawang Liu;Milos Ilić

  • Numerical Approximation of a Fractional-In-Space Diffusion Equation, I

    M. Ilic;F. Liu;I. Turner;V. Anh

  • A new fractional finite volume method for solving the fractional diffusion equation

    Fawang Liu;Pinghui Zhuang;Ian Turner;Kevin Burrage;Kevin Burrage

  • Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions

    Milos Ilic;Fawang Liu;Ian Turner;Vo Anh

  • Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

    H. Jiang;F. Liu;I. Turner;K. Burrage

  • Numerical techniques for the variable order time fractional diffusion equation

    Shujun Shen;Fawang Liu;Jing Chen;Ian Turner

  • Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain

    Hui Jiang;Hui Jiang;Fawang Liu;Ian Turner;Kevin Burrage;Kevin Burrage

  • A NOVEL HIGH ORDER SPACE-TIME SPECTRAL METHOD FOR THE TIME FRACTIONAL FOKKER-PLANCK EQUATION ∗

    Minling Zheng;Fawang Liu;Ian W. Turner;Vo Anh

Frequent Co-Authors

Fawang Liu
Fawang Liu Queensland University of Technology
Vo Anh
Vo Anh Queensland University of Technology
Kevin Burrage
Kevin Burrage Queensland University of Technology
Patrick Perré
Patrick Perré University of Paris-Saclay
Peter Bruza
Peter Bruza Queensland University of Technology
Qing Huo Liu
Qing Huo Liu Eastern Institute of Technology, Ningbo
Anthony N. Pettitt
Anthony N. Pettitt Queensland University of Technology
Changpin Li
Changpin Li Shanghai University
Kerrie Mengersen
Kerrie Mengersen Queensland University of Technology
Prasad Yarlagadda
Prasad Yarlagadda Queensland University of Technology

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