# 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 (39339)
- Australian and New Zealand Standard Research Classification (39339)
- MATHEMATICAL SCIENCES (010000) (1324)
- NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) (324)
**Numerical Solution of Differential and Integral Equations (010302)**(54)

- NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) (324)

- MATHEMATICAL SCIENCES (010000) (1324)

- Australian and New Zealand Standard Research Classification (39339)

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**54**.## 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.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. 95

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. 82

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. 238

19

19

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. 156

17

14

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. 161

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. 1

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. 26

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.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. 19

19

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. 11

5

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.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. 41

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. 121

5

5

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. 120

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. 3

2

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

*Computers & Mathematics with Applications*. 117

4

4

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*. (In Press)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. 112

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. 62

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. 36

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). 17

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. 15

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). 11

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*. (In Press)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. 77

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. 379

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1

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. 174

7

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. 199

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. 52

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. 398

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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*. (In Press)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. 165

2

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## 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. (In Press) 147

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. 106

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. 268

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. 183

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. 91

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.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. 68

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. 101

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. 222

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. 204

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. 84

## Working Paper

Carr, Elliot (2013)

*Two-scale computational modelling of unsaturated flow in soils exhibiting small scale heterogeneities.*[Working Paper] (Unpublished) 8

## 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) 262