2023 - Research.com Mathematics in Australia Leader Award
2022 - Research.com Mathematics in Australia Leader Award
Ian Turner mostly deals with Mathematical analysis, Fractional calculus, Diffusion equation, Partial differential equation and Numerical analysis. His research on Mathematical analysis often connects related topics like Stability. His studies in Stability integrate themes in fields like Fourier analysis, Variable, Finite element method and Applied mathematics.
His Fractional calculus research is multidisciplinary, relying on both Time derivative, Dirichlet boundary condition, Space, Riesz space and Convection–diffusion equation. The Diffusion equation study combines topics in areas such as Anomalous diffusion, Bounded function and Matrix. The various areas that Ian Turner examines in his Partial differential equation study include Boundary value problem and Finite volume method.
His primary areas of investigation include Mathematical analysis, Fractional calculus, Numerical analysis, Applied mathematics and Partial differential equation. Ian Turner has included themes like Diffusion equation and Stability in his Mathematical analysis study. His study looks at the relationship between Fractional calculus and topics such as Riesz space, which overlap with Ordinary differential equation.
His work on Numerical stability as part of general Numerical analysis research is often related to Spacetime, thus linking different fields of science. His study in Applied mathematics is interdisciplinary in nature, drawing from both Polygon mesh, Krylov subspace, Finite element method, Mathematical optimization and Finite volume method. Ian Turner combines subjects such as Finite difference and Random walk with his study of Finite difference method.
Ian Turner spends much of his time researching Applied mathematics, Fractional calculus, Numerical analysis, Mathematical analysis and Finite element method. His Applied mathematics research incorporates themes from Boundary value problem, Stability, Diffusion equation, Discretization and Finite volume method. His Fractional calculus research includes themes of Diffusion process, Derivative, Linear multistep method and Constitutive equation.
His research in Numerical analysis intersects with topics in Polygon mesh, Partial differential equation, Mathematical optimization, Riesz space and Finite difference method. Space and Differential equation are the core of his Mathematical analysis study. His Finite element method research focuses on subjects like Finite difference, which are linked to Basis function.
His main research concerns Fractional calculus, Applied mathematics, Numerical analysis, Mathematical analysis and Finite element method. His Fractional calculus research integrates issues from Spin–lattice relaxation, Derivative, Amplitude, Discretization and Diffusion process. The study incorporates disciplines such as Galerkin method and Diffusion equation in addition to Applied mathematics.
His Numerical analysis study combines topics from a wide range of disciplines, such as Iterative method, Fractional diffusion, Partial differential equation and Finite difference method. His Mathematical analysis study also includes fields such as
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Numerical solution of the space fractional Fokker-Planck equation
F. Liu;V. Anh;I. Turner.
Journal of Computational and Applied Mathematics (2004)
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
Qianqian Yang;Fawang Liu;Ian Turner.
Applied Mathematical Modelling (2010)
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.
Applied Mathematics and Computation (2007)
Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
P. Zhuang;F. Liu;V. Anh;I. Turner.
SIAM Journal on Numerical Analysis (2009)
New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
P. Zhuang;F. Liu;V. Anh;I. Turner.
SIAM Journal on Numerical Analysis (2008)
A Fourier method for the fractional diffusion equation describing sub-diffusion
Chang-Ming Chen;F. Liu;I. Turner;V. Anh.
Journal of Computational Physics (2007)
A 3-D version of TransPore: a comprehensive heat and mass transfer computational model for simulating the drying of porous media
Patrick Perré;Ian W. Turner.
International Journal of Heat and Mass Transfer (1999)
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.
SIAM Journal on Numerical Analysis (2014)
Time fractional advection-dispersion equation
Fawang Liu;Vo Anh;Ian Turner;Pinghui Zhuang.
Journal of Applied Mathematics and Computing (2003)
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
Fanhai Zeng;Changpin Li;Fawang Liu;Ian W. Turner.
SIAM Journal on Scientific Computing (2013)
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