Ian W. Turner
Orcid: 0000-0003-2794-3968Affiliations:
- Queensland University of Technology, School of Mathematical Sciences, Brisbane, QLD, Australia
According to our database1,
Ian W. Turner
authored at least 101 papers
between 2005 and 2024.
Collaborative distances:
Collaborative distances:
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Bibliography
2024
Parameter estimation for time-fractional Black-Scholes equation with S &P 500 index option.
Numer. Algorithms, January, 2024
Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium.
Comput. Math. Appl., January, 2024
2023
Fractional potential: A new perspective on the fractional Laplacian problem on bounded domains.
Commun. Nonlinear Sci. Numer. Simul., October, 2023
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects.
J. Comput. Phys., May, 2023
Data fusion for a multi-scale model of a wheat leaf surface: a unifying approach using a radial basis function partition of unity method.
CoRR, 2023
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures.
Commun. Nonlinear Sci. Numer. Simul., 2023
2022
Efficient inference and identifiability analysis for differential equation models with random parameters.
PLoS Comput. Biol., November, 2022
J. Comput. Graph. Stat., 2022
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain.
J. Comput. Appl. Math., 2022
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., 2022
The application of the distributed-order time fractional Bloch model to magnetic resonance imaging.
Appl. Math. Comput., 2022
An investigation of space distributed-order models for simulating anomalous transport in a binary medium.
Appl. Math. Comput., 2022
2021
A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients.
J. Comput. Appl. Math., 2021
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media.
Commun. Nonlinear Sci. Numer. Simul., 2021
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., 2021
2020
An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains.
J. Comput. Phys., 2020
A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation.
J. Comput. Appl. Math., 2020
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains.
J. Comput. Appl. Math., 2020
CoRR, 2020
High-order numerical methods for the Riesz space fractional advection-dispersion equations.
CoRR, 2020
Commun. Nonlinear Sci. Numer. Simul., 2020
Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation.
Comput. Math. Appl., 2020
A novel finite element method for the distributed-order time fractional Cable equation in two dimensions.
Comput. Math. Appl., 2020
2019
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations.
SIAM J. Sci. Comput., 2019
Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever.
Numer. Algorithms, 2019
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations.
J. Comput. Phys., 2019
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., 2019
2018
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations.
SIAM J. Sci. Comput., 2018
J. Sci. Comput., 2018
An efficient boundary element formulation for doubly-periodic two-dimensional Stokes flow with pressure boundary conditions.
J. Comput. Phys., 2018
Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation.
J. Comput. Appl. Math., 2018
A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements.
Commun. Nonlinear Sci. Numer. Simul., 2018
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation.
Comput. Math. Appl., 2018
Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains.
Comput. Math. Appl., 2018
Comput. Electron. Agric., 2018
Axioms, 2018
2017
Numer. Algorithms, 2017
The Meshfree Finite Volume Method with application to multi-phase porous media models.
J. Comput. Phys., 2017
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging.
J. Comput. Appl. Math., 2017
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations.
Comput. Math. Appl., 2017
A novel finite volume method for the Riesz space distributed-order diffusion equation.
Comput. Math. Appl., 2017
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients.
Comput. Math. Appl., 2017
2016
GPU Accelerated Algorithms for Computing Matrix Function Vector Products with Applications to Exponential Integrators and Fractional Diffusion.
SIAM J. Sci. Comput., 2016
Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients.
SIAM J. Numer. Anal., 2016
Numer. Algorithms, 2016
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation.
Numer. Algorithms, 2016
Numer. Algorithms, 2016
The extended distributed microstructure model for gradient-driven transport: A two-scale model for bypassing effective parameters.
J. Comput. Phys., 2016
Numerical solution of the time fractional Black-Scholes model governing European options.
Comput. Math. Appl., 2016
Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid.
Comput. Math. Appl., 2016
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations.
Appl. Math. Lett., 2016
2015
A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker-Planck Equation.
SIAM J. Sci. Comput., 2015
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy.
SIAM J. Sci. Comput., 2015
A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain.
J. Comput. Phys., 2015
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation.
J. Comput. Appl. Math., 2015
A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation.
Appl. Math. Comput., 2015
A center Box method for radially symmetric solution of fractional subdiffusion equation.
Appl. Math. Comput., 2015
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation.
Appl. Math. Comput., 2015
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients.
Appl. Math. Comput., 2015
2014
A Comparison of Techniques for the Reconstruction of Leaf Surfaces from Scanned Data.
SIAM J. Sci. Comput., 2014
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation.
SIAM J. Numer. Anal., 2014
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation.
Numer. Algorithms, 2014
J. Assoc. Inf. Sci. Technol., 2014
Numerical analysis of a new space-time variable fractional order advection-dispersion equation.
Appl. Math. Comput., 2014
Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations.
Appl. Math. Comput., 2014
Appl. Math. Comput., 2014
2013
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation.
SIAM J. Sci. Comput., 2013
Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation.
Numer. Algorithms, 2013
Multiscale Model. Simul., 2013
A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: Application to wood drying.
J. Comput. Phys., 2013
An implicit numerical method for the two-dimensional fractional percolation equation.
Appl. Math. Comput., 2013
Proceedings of the 2013 IEEE International Conference on Robotics and Automation, 2013
2012
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation.
Math. Comput., 2012
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain.
Comput. Math. Appl., 2012
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D.
Appl. Math. Comput., 2012
Appl. Math. Comput., 2012
Proceedings of the 21st ACM International Conference on Information and Knowledge Management, 2012
Is the unigram relevance model term independent?: classifying term dependencies in query expansion.
Proceedings of the Seventeenth Australasian Document Computing Symposium, 2012
2011
Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions.
SIAM J. Sci. Comput., 2011
Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid.
Comput. Math. Appl., 2011
Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term.
Appl. Math. Comput., 2011
Appl. Math. Comput., 2011
Proceedings of the 25th Pacific Asia Conference on Language, Information and Computation, 2011
2010
Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation.
SIAM J. Sci. Comput., 2010
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation.
Numer. Algorithms, 2010
Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium.
Appl. Math. Comput., 2010
2009
Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term.
SIAM J. Numer. Anal., 2009
A Three Species Model to Simulate Application of Hyperbaric Oxygen Therapy to Chronic Wounds.
PLoS Comput. Biol., 2009
Comput. Stat. Data Anal., 2009
Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation.
Appl. Math. Comput., 2009
2008
New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation.
SIAM J. Numer. Anal., 2008
2007
Numer. Linear Algebra Appl., 2007
A three-dimensional finite volume method based on radial basis functions for the accurate computational modelling of nonlinear diffusion equations.
J. Comput. Phys., 2007
Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method.
J. Comput. Phys., 2007
J. Comput. Phys., 2007
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation.
Appl. Math. Comput., 2007
2005