# Items where Subject is "Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Solution of Differential and Integral Equations (010302)"

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- Subjects classification (43735)
- Australian and New Zealand Standard Research Classification (43735)
- MATHEMATICAL SCIENCES (010000) (1451)
- NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) (352)
**Numerical Solution of Differential and Integral Equations (010302)**(57)

- NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) (352)

- MATHEMATICAL SCIENCES (010000) (1451)

- Australian and New Zealand Standard Research Classification (43735)

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**57**.## Journal Article

Back, Julian M., McCue, Scott W., Hsieh, Mike Hou-Ning, & Moroney, Timothy J.
(2014)
The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem.

*Applied Mathematics and Computation*,*229*, pp. 41-52.
5

5

Bhowmick, Sidhartha, Molla, Md. Mamun, & Saha, Suvash
(2013)
Non-Newtonian natural convection flow along an isothermal horizontal circular cylinder using modified power-law model.

*American Journal of Fluid Dynamics*,*3*(2), pp. 20-30.
154

Carr, Elliot Joseph, Turner, Ian, & Perre, Patrick
(2013)
A dual-scale modelling approach for drying hygroscopic porous media.

*Multiscale Modeling and Simulation*,*11*(1), pp. 362-384.
104

1

1

Chang, Sun Woo, Clement, T. Prabhakar, Simpson, Matthew J., & Lee, Kang-Kun
(2011)
Does sea-level rise have an impact on saltwater intrusion?

*Advances in Water Resources*,*34*(10), pp. 1283-1291.
331

34

32

Chyba, Monique, Haberkorn, Thomas, Smith, Ryan N., & Choi, S.K.
(2008)
Design and implementation of time efficient trajectories for an underwater vehicle.

*Ocean Engineering*,*35*(1), pp. 63-76.
186

21

17

Cumming, Benjamin, Moroney, Timothy J., & Turner, Ian
(2011)
A mass-conservative control volume-finite element method for solving Richards’ equation in heterogeneous porous media.

*BIT Numerical Mathematics*.
3

1

Dallaston, Michael C. & McCue, Scott W.
(2011)
Numerical solution to the Saffman-Taylor finger problem with kinetic undercooling regularisation.

*ANZIAM Journal*,*52*, C124-C138.
227

Dargaville, Steven & Farrell, Troy W.
(2015)
A least squares based finite volume method for the Cahn-Hilliard and Cahn-Hilliard-reaction equations.

*Journal of Computational and Applied Mathematics*,*273*, pp. 255-244.

Desseaux , Andre & Kelson, Neil A.
(2000)
Flow of a micropolar fluid bounded by a stretching sheet.

*ANZIAM Journal*,*42 (E)*, C536-C560.

Gu, YuanTong & Zhuang, Pinghui
(2012)
Anomalous subdiffusion equations by the meshless collocation method.

*Australian Journal of Mechanical Engineering*,*10*(1), pp. 1-8.
5

Hejazi, Hala, Moroney, Tim, & Liu, Fawang
(2013)
A comparison of finite difference and finite volume methods for solving the space-fractional advection-dispersion equation with variable coefficients.

*The ANZIAM Journal*,*54*, C557-C573.
47

Hejazi, Hala, Moroney, Timothy, & Liu, Fawang
(2013)
A finite volume method for solving the two-sided time-space fractional advection-dispersion equation.

*Central European Journal of Physics*,*11*(10), pp. 1275-1283.
24

3

3

Islam, Shams Ul, Abbasi, Waqas Sarwar, Saha, Suvash C., Ying, Zhou Chao , & Gu, YuanTong
(2013)
Numerical simulation of flow past four square cylinders in an in-line square configuration using the Lattice Boltzmann method for various separation ratios.

*KSCE Journal of Civil Engineering*. (In Press)

Li, Changpin, Zeng, Fanhai, & Liu, Fawang
(2012)
Spectral approximations to the fractional integral and derivative.

*Fractional Calculus and Applied Analysis*,*15*(3), pp. 383-406.
29

27

Liu, Fawang, Yang, Qianqian, & Turner, Ian
(2011)
Two new implicit numerical methods for the fractional cable equation.

*Journal Of Computational And Nonlinear Dynamics*,*6*(1), pp. 1-7.
14

7

Liu, Qingxia, Liu, Fawang, Turner, Ian, Anh, Vo, & Gu, YuanTong
(2014)
A RBF meshless approach for modeling a fractal mobile/immobile transport model.

*Applied Mathematics and Computation*,*226*, pp. 336-347.
5

4

Mat Isa, Zaiton, Fulford, Glenn, & Kelson, Neil A.
(2011)
Simulation of phosphine flow in vertical grain storage : a preliminary numerical study.

*ANZIAM Journal*,*52*, C759-C772.

Mayo, Lisa C., McCue, Scott W., & Moroney, Timothy J.
(2013)
Numerical solutions for thin film flow down the outside and inside of a vertical cylinder.

*The ANZIAM Journal*,*54*, C377-C393.
76

Mayo, Lisa C., McCue, Scott W., Moroney, Timothy J., Forster, W. Alison, Kempthorne, Daryl M., Belward, John A., et al.
(2015)
Simulating droplet motion on virtual leaf surfaces.

*Royal Society Open Science*,*2*(5), p. 140528.
19

McCue, Scott W., Hsieh, Mike, Moroney, Timothy J., & Nelson, Mark I.
(2011)
Asymptotic and numerical results for a model of solvent-dependent drug diffusion through polymeric spheres.

*SIAM Journal on Applied Mathematics (SIAP)*,*71*(6), pp. 2287-2311.
144

11

10

Moroney, Timothy J. & Truscott, Simon
(2008)
A method of lines approach for modelling saltwater intrusion in coastal aquifiers.

*Australian & New Zealand Industrial and Applied Mathematics*,*50*, pp. 625-639.
157

Moroney, Timothy J. & Yang, Qianqian
(2013)
Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners.

*Journal of Computational Physics*,*246*, pp. 304-317.
29

6

6

Moroney, Timothy J. & Yang, Qianqian
(2013)
A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation.

*Computers & Mathematics with Applications*.
210

7

8

Nie, Yufeng, Liu, Ying, Gu, YuanTong, & Fan, Xiangjuo
(2009)
Fast searching algorithm for candidate satellite-node set
in NLMG.

*CMES-Computer Modeling in Engineering & Sciences*,*45*(1), pp. 31-55.
6

4

Perre, Patrick & Turner, Ian
(2008)
A mesoscopic drying model applied to the growth rings of softwood: mesh generation and simulation results.

*Maderas: ciencia y tecnologia*,*10*(3), pp. 251-274.
6

6

Pethiyagoda, Ravindra, McCue, Scott W., Moroney, Timothy J., & Back, Julian M.
(2014)
Jacobian-free Newton-Krylov methods with GPU acceleration for computing nonlinear ship wave patterns.

*Journal of Computational Physics*,*269*, pp. 297-313.
4

3

Saha, Suvash C. & Gu, YuanTong
(2012)
Free convection in a triangular enclosure with fluid-saturated porous medium and internal heat generation.

*The ANZIAM Journal*,*53*, C127-C141.
150

1

Saha, Suvash C. & Gu, YuanTong
(2012)
Natural convection in a triangular enclosure due to non-uniform cooling on top.

*The ANZIAM Journal*,*53*, C53-C68.
69

Saha, Suvash C. & Gu, YuanTong
(2012)
Prandtl number scaling of natural convection of the flow on an inclined at plate due to uniform surface heat flux.

*The ANZIAM Journal*,*53*, C387-C403.
45

Saleem, M., Hossain, M.A., Saha, S.C., & Gu, Y.T.
(2014)
Heat transfer analysis of viscous incompressible fluid by
combined natural convection and radiation in an open cavity.

*Mathematical Problems in Engineering*,*2014*(412480).
64

Simmons, Alex, Yang, Qianqian, & Moroney, Timothy J.
(2015)
A preconditioned numerical solver for stiff nonlinear
reaction-diffusion equations with fractional Laplacians that avoids dense matrices.

*Journal of Computational Physics*,*287*, pp. 254-268.

Sojoudi, Atta, Mazloomi, Ali, Saha, Suvash C., & Gu, YuanTong
(2014)
Similarity solutions for flow and heat transfer of non-Newtonian fluid over a stretching surface.

*Journal of Applied Mathematics*,*2014*, pp. 718319-1.
52

Sojoudi, Atta, Saha, Suvash C., Gu, YuanTong, & Hossain, Md. Anwar
(2013)
Steady natural convection of non-Newtonian power-law fluid in a trapezoidal enclosure.

*Advances in Mechanical Engineering*,*2013*(653108).
37

Sojoudi, Atta, Saha, Suvash C., Khezerloo, Marzieh, & Gu, Y. T.
(2014)
Unsteady natural convection within a porous enclosure of sinusoidal corrugated side walls.

*Transport in Porous Media*,*104*(3), pp. 537-552.

Trisilowati, , McCue, Scott W., & Mallet, Daniel G.
(2013)
Numerical solution of an optimal control model of dendritic cell treatment of a growing tumour.

*ANZIAM Journal*,*54*, C664-C680.
127

Yang, Qianqian, Liu, Fawang, & Turner, Ian
(2009)
Computationally efficient numerical methods for time- and space-fractional Fokker–Planck equations.

*Physica Scripta*,*T136*, pp. 1-7.
505

3

2

Yang, Qianqian, Liu, Fawang, & Turner, Ian
(2010)
Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term.

*International Journal of Differential Equations*,*2010*, pp. 1-22.
196

11

Yang, Qianqian, Moroney, Timothy J., Burrage, Kevin, Turner, Ian, & Liu, Fawang
(2011)
Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions.

*Australian and New Zealand Industrial and Applied Mathematics Journal*,*52*, C395-C409.
240

Yang, Qianqian, Turner, Ian, & Liu, Fawang
(2009)
Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation.

*Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM)*,*50*, C800-C814.
69

Yang, Qianqian, Turner, Ian, Liu, Fawang, & Ilic, Milos
(2011)
Novel numerical methods for solving the time-space fractional diffusion equation in 2D.

*SIAM Journal on Scientific Computing (SISC)*,*33*(3), pp. 1159-1180.
487

40

38

Yang, Qianqian, Turner, Ian, Moroney, Timothy J., & Liu, Fawang
(2014)
A finite volume scheme with preconditioned Lanczos method
for two-dimensional space-fractional reaction–diffusion
equations.

*Applied Mathematical Modelling*,*38*(15-16), pp. 3755-3762.
6

3

Yao, Hong-Mei, Tade, Moses O., & Tian, Yu-Chu
(2010)
Accelerated computation of cyclic steady state for simulated-moving-bed processes.

*Chemical Engineering Science*,*65*(5), pp. 1694-1704.
187

4

2

## Conference Paper

Adams, Matthew P., Mallet, Daniel G., & Pettet, Graeme J.
(2012)
Solution methods for advection-diffusion-reaction equations on growing domains and subdomains, with application to modelling skin substitutes. In
Gu, YuanTong & Saha, Suvash C. (Eds.)

*Proceedings of 4th International Conference on Computational Methods (ICCM2012)*, Gold Coast, Qld, Paper 230.
199

Baturo, Annette R.
(1999)
Place value, multiplicativity, reunitizing and
effective classroom teaching of decimal numeration. In

*Proceedings of the 8th South East Asian Conference on Mathematics Education : Mathematics for the 21st Century*, Manila.
130

Chyba, Monique, Haberkorn, Thomas, Smith, Ryan N., Choi, Song K., Mariani, Giacomo, & McLeod, Chris
(2008)
Efficient control of an autonomous underwater vehicle while accounting for thruster failure. In

*Proceedings of the 7th International Conference on Computer Applications and Information Technology in the Maritime Industries, COMPIT 2008*, Bedford Hotel, Brussels.
379

Islam, Majedul, Karim, Azharul, Saha, Suvash C., Yarlagadda, Prasad K., Miller, Sarah , & Ullah, Ihsan
(2012)
Visualization of thermal characteristics around the absorber tube of a standard parabolic trough thermal collector by 3D simulation. In
Gu, YuanTong & Saha, Suvash C. (Eds.)

*Proceedings of the 4th International Conference on Computational Methods (ICCM2012)*, School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, Crowne Plaza, Gold Coast, Australia.
245

Kelson, Neil A., Desseaux, Andre, & McElwain, Sean
(2000)
Limiting solutions and linearised analysis of micropolar flow driven by a porous stretching surface. In
Brassington, Gary B. & Patterson, John C. (Eds.)

*Seventh Australasian Conference on Heat and Mass Transfer*, July, 2000, James Cook University, Townsville.
111

Kelson, Neil A. & McElwain, Sean
(1996)
Modelling ideal turbulent vortex breakdown. In
Yuen, Wai Yee Daniel, Broadbridge, Philip, & Steiner, Joseph M. (Eds.)

*Proceedings of the Second Biennial Australian Engineering Mathematics Conference: 1996; Engineering Mathematics; Research, Education and Industry Linkage*, Sydney, NSW.

Kelson, Neil A., McElwain, Sean, & Truelove, John
(1996)
RNG and k-e Modelling of confined swirling flow. In
May, R. L. & Easton, A. K. (Eds.)

*Biennial Conference on Computational Techniques and Applications*, 3-5 July 1995, Swinburne University of Technology, Melbourne, Victoria.

Kumar, Chandan, Joardder, Mohammad Uzzal Hossain, Farrell, Troy W., Millar, Graeme J., & Karim, Azharul
(2014)
Multiphase porous media model for heat and mass transfer during drying of agricultural products. In

*19th Australasian Fluid Mechanics Conference*, 8-11 December 2014, RMIT University, Melbourne, VIC.
70

Nantes, Alfredo, Ngoduy, Dong, Miska, Marc, & Chung, Edward
(2013)
Traffic state estimation from partial Bluetooth and volume observations : case study in the Brisbane metropolitan area. In
(Ed.)

*Proceedings of the 18th International Conference of Hong Kong Society for Transportation Studies*, Hong Kong, China.
113

Yang, Qianqian, Liu, Fawang, & Turner, Ian
(2008)
Numerical solution techniques for time- and space-fractional
Fokker-Planck equations. In
Sabatier, J., Magin, R., Vinagre, B., & Baleanu, D. (Eds.)

*Proceedings of the 3rd International Federation of Automatic Control (IFAC) Workshop on Fractional Differentiation and its Applications*, 5 - 7 November 2008, Ankara, Turkey.
145

Yang, Qianqian, Moroney, Timothy J., Liu, Fawang, & Turner, Ian
(2012)
Computationally efficient methods for solving time-variable-order time-space fractional reaction-diffusion equation. In

*5th IFAC Symposium on Fractional Differentiation and its Applications*, 14-17 May 2012, Hohai University, Nanjing, China.
300

Yang, Qianqian, Turner, Ian, & Liu, Fawang
(2008)
Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation. In

*ANZIAM Journal : Proceedings of the 4th Biennial Computational Techniques and Applications Conference (CTAC2008)*, Australian National University, Canberra, C800-C814.
237

3

Yang, Qianqian, Turner, Ian, Moroney, Timothy J., & Liu, Fawang
(2012)
A preconditioned Lanczos method for space-fractional reaction-diffusion equations on two-dimensional unstructured meshes. In
Gu, YuanTong (Ed.)

*4th International Conference on Computational Methods (ICCM2012)*, 25-28 November 2012, Crowne Plaza, Gold Coast, QLD.
120

## Working Paper

Carr, Elliot
(2013)

*Two-scale computational modelling of unsaturated flow in soils exhibiting small scale heterogeneities.*[Working Paper] (Unpublished)
21

## Other

Simpson, Daniel P., Turner, Ian W., & Ilic, Milos
(2009)

*A generalised matrix transfer technique for the numerical solution of fractional-in-space partial differential equations.*(Unpublished)
292