490410. Partial differential equations


Title490410. Partial differential equations
Parent4904. Pure mathematics

Latest research outputs

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A compact 9 point stencil based on integrated RBFs for the convection-diffusion equation
Mai-Duy, N., Thai-Quang, N., Hoang-Trieu, T.-T. and Tran-Cong, T.. 2014. "A compact 9 point stencil based on integrated RBFs for the convection-diffusion equation." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 38 (4), pp. 1495-1510. https://doi.org/10.1016/j.apm.2013.08.017

Article

A numerical scheme based on local integrated RBFNs and Cartesian grids for solving second-order elliptic problems in two dimensions
Mai-Duy, N. and Tran-Cong, T.. 2010. "A numerical scheme based on local integrated RBFNs and Cartesian grids for solving second-order elliptic problems in two dimensions." Sarler, Bozidar and Atluri, Satya N. (ed.) Recent studies in meshless and other novel computational methods. Duluth, GA. United States. Tech Science Press. pp. 17-33

Edited book (chapter)

An efficient indirect RBFN-based method for numerical solution of PDEs
Mai-Duy, Nam and Tran-Cong, Thanh. 2005. "An efficient indirect RBFN-based method for numerical solution of PDEs." Numerical Methods for Partial Differential Equations. 21 (4), pp. 770-790. https://doi.org/10.1002/num.20062

Article

An introduction to fractional diffusion
Henry, B. I., Langlands, Trevor and Straka, P.. 2010. "An introduction to fractional diffusion." Dewar, Robert L. and Detering, Frank (ed.) 22nd Canberra International Physics Summer School. Canberra, Australia 08 - 19 Dec 2008 Singapore. https://doi.org/10.1142/9789814277327_0002

Paper

Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations
Henry, B. I., Langlands, Trevor and Wearne, S. L.. 2006. "Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations." Physical Review E. 74 (3), pp. 1-15. https://doi.org/10.1103/PhysRevE.74.031116

Article

Anomalous subdiffusion with multispecies linear reaction dynamics
Langlands, Trevor, Henry, B. I. and Wearne, S. L.. 2008. "Anomalous subdiffusion with multispecies linear reaction dynamics." Physical Review B: Covering condensed matter and materials physics. 77, pp. 1-9. https://doi.org/10.1103/PhysRevE.77.021111

Article

Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes
Bauer, S. M., Ermakov, A. M., Kashtanova, S. V. and Morozov, N. F.. 2011. "Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes." Vestnik: Mathematics (St. Petersburg University). 44 (1), p. Article 13. https://doi.org/10.3103/S1063454111010055

Article

Asymptotics of averaged turbulent transfer in canopy flows
Mohammed, F. J., Strunin, D. V., Ngo-Cong, D. and Tran-Cong, T.. 2015. "Asymptotics of averaged turbulent transfer in canopy flows." Journal of Engineering Mathematics. 91 (1), pp. 81-104. https://doi.org/10.1007/s10665-014-9737-y

Article

Compact integrated radial basis function modelling of particulate suspensions
Thai-Quang, Nha. 2014. Compact integrated radial basis function modelling of particulate suspensions. PhD Thesis Doctor of Philosophy. University of Southern Queensland.

PhD Thesis

Coupled thermomechanical waves in hyperbolic thermoelasticity
Strunin, D. V., Melnik, R. V. N. and Roberts, A. J.. 2001. "Coupled thermomechanical waves in hyperbolic thermoelasticity." Journal of Thermal Stresses. 24 (2), pp. 121-140. https://doi.org/10.1080/01495730150500433

Article

Development of parallel algorithm for boundary value problems using compact local integrated RBFN and domain decomposition
Pham-Sy, N., Hoang-Trieu, T.-T., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2012. "Development of parallel algorithm for boundary value problems using compact local integrated RBFN and domain decomposition." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.

Paper

Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells
Bauer, Svetlana M., Ermakov, Andrei M., Kashtanova, Stanislava V. and Morozov, Nikita F.. 2011. "Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells." Altenbach, Holm and Eremeyev, Victor A. (ed.) Shell-like structures. Heidelberg, Germany. Springer. pp. 519-530

Edited book (chapter)

Fluid flow between active elastic plates
Strunin, D. V.. 2009. "Fluid flow between active elastic plates." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (S), pp. C871-C883.

Article

Fractional cable equation models for anomalous electrodiffusion in nerve cells: finite domain solutions
Langlands, T. A. M., Henry, B. I. and Wearne, S. L.. 2011. "Fractional cable equation models for anomalous electrodiffusion in nerve cells: finite domain solutions." SIAM Journal on Applied Mathematics. 71 (4), pp. 1168-1203. https://doi.org/10.1137/090775920

Article

Fractional cable equation models for anomalous electrodiffusion in nerve cells: infinite domain solutions
Langlands, Trevor, Henry, B. I. and Wearne, S. L.. 2009. "Fractional cable equation models for anomalous electrodiffusion in nerve cells: infinite domain solutions." Journal of Mathematical Biology. 59 (6), pp. 761-808. https://doi.org/10.1007/s00285-009-0251-1

Article

Fractional cable models for spiny neuronal dendrites
Henry, B. I., Langlands, Trevor and Wearne, S. L.. 2008. "Fractional cable models for spiny neuronal dendrites." Physical Review Letters. 100 (12), pp. 1-4. https://doi.org/10.1103/PhysRevLett.100.128103

Article

Fractional chemotaxis diffusion equations
Langlands, T. A. M. and Henry, B. I.. 2010. "Fractional chemotaxis diffusion equations." Physical Review E. 81 (5), pp. 1-12. https://doi.org/10.1103/PhysRevE.81.051102

Article

Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces
Henry, B. I., Langlands, T. A. M. and Straka, P.. 2010. "Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces." Physical Review Letters. 105 (17), pp. 17062-1-170602-4. https://doi.org/10.1103/PhysRevLett.105.170602

Article

Generalized continuous time random walks, master equations, and fractional Fokker-Planck equations
Angstmann, C. N., Donnelly, I. C., Henry, B. I., Langlands, T. A. M. and Straka, P.. 2015. "Generalized continuous time random walks, master equations, and fractional Fokker-Planck equations." SIAM Journal on Applied Mathematics. 75 (4), pp. 1445-1468. https://doi.org/10.1137/15M1011299

Article

Holistic discretisation ensures fidelity to Burger's equation
Roberts, A. J.. 2001. "Holistic discretisation ensures fidelity to Burger's equation." Applied Numerical Mathematics. 37 (3), pp. 371-396. https://doi.org/10.1016/S0168-9274(00)00053-2

Article

Low-dimensional modelling of a generalised Burgers equation
Li, Zhenquan and Roberts, A. J.. 2007. "Low-dimensional modelling of a generalised Burgers equation." Global Journal of Pure and Applied Mathematics. 3 (3), pp. 203-218.

Article

Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations
Mai-Duy, Nam and Tran-Cong, Thanh. 2002. "Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations." Engineering Analysis with Boundary Elements. 26 (2), pp. 133-156. https://doi.org/10.1016/S0955-7997(01)00092-3

Article

Nonclassical models in the shell theory with applications to multilayered nanotubes
Bauer, Svetlana M., Ermakov, Andrei M., Kashtanova, Stanislava V. and Morozov, Nikita F.. 2011. "Nonclassical models in the shell theory with applications to multilayered nanotubes." Papadrakakis, Manolis, Fragiadakis, Michalis and Plevris, Vagelis (ed.) 3rd ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011). Corfu, Greece 25 - 28 May 2011 Dordrecht, Netherlands. https://doi.org/10.1007/978-94-007-6573-3

Paper

Numerical analysis of light transmission in dual-core waveguides
McKeiver, Joshua. 2023. Numerical analysis of light transmission in dual-core waveguides. Masters Thesis Master of Science. University of Southern Queensland. https://doi.org/10.26192/yyw1v

Masters Thesis

Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells
Ermakov, Andrei M.. 2013. "Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells." Lecture Notes in Computer Science (Book series). 8236, pp. 279-286. https://doi.org/10.1007/978-3-642-41515-9_30

Article

Numerical solution of Fokker-Planck equation using the integral radial basis function networks
Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2012. "Numerical solution of Fokker-Planck equation using the integral radial basis function networks." Pimenta, P. M. and Campello, E. M. B. (ed.) 10th World Congress on Computational Mechanics (WCCM 2012). Sao Paulo, Brazil 08 - 13 Jul 2012 Sao Paulo, Brazil. https://doi.org/10.5151/10.5151/meceng-wccm2012-19433

Paper

Numerical study of nonlinear wave processes by means of discrete chain models
Obregon, M., Raj, N. and Stepanyants, Y.. 2012. "Numerical study of nonlinear wave processes by means of discrete chain models." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.

Paper

On the stability of the cylindrical shell under the axial compression with use of non-classical theories of shells
Ermakov, A. M.. 2012. "On the stability of the cylindrical shell under the axial compression with use of non-classical theories of shells." Holzapfel, Gerhard (ed.) 8th European Solid Mechanics Conference (ESMC-2012) . Graz, Austria 09 - 13 Jul 2012 Graz, Austria.

Paper

Parallel control-volume method based on compact local integrated RBFs for the solution of fluid flow problems
Pham-Sy, N., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2014. "Parallel control-volume method based on compact local integrated RBFs for the solution of fluid flow problems." CMES Computer Modeling in Engineering and Sciences. 100 (5), pp. 363-397. https://doi.org/10.3970/cmes.2014.100.363

Article

Solution of a modified fractional diffusion equation
Langlands, T. A. M.. 2006. "Solution of a modified fractional diffusion equation." Physica A: Statistical Mechanics and its Applications. 367, pp. 136-144. https://doi.org/10.1016/j.physa.2005.12.012

Article

Solving high-order partial differential equations with indirect radial basis function networks
Mai-Duy, N. and Tanner, R. I.. 2005. "Solving high-order partial differential equations with indirect radial basis function networks." International Journal for Numerical Methods in Engineering. 63 (11), pp. 1636-1654. https://doi.org/10.1002/nme.1332

Article

Turing pattern formation with fractional diffusion and fractional reactions
Langlands, T. A. M., Henry, B. I. and Wearne, S. L.. 2006. "Turing pattern formation with fractional diffusion and fractional reactions." Journal of Physics: Condensed Matter. 19 (6), pp. 065115 -065134. https://doi.org/10.1088/0953-8984/19/6/065115

Article

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