Faculty of Natural and Agricultural Sciences
School of Mathematical Sciences
Department of Mathematics and Applied Mathematics
Partial differential equations, their numerical analysis and mathematical modelling - Research Output
Research articles in refereed specialist journals:
Deugoue G, Sango M: 2009. On the stochastic 3D Navier-Stokes-alpha model of fluids turbulence. Abstract And Applied Analysis, 2009, pp 1-27, Full Text
van der Walt JH: 2009. The order completion method for systems of nonlinear PDE’s revisited. Acta Applicandae Mathematicae, 106 (2), pp 149-176.
Lubuma JM-S, Patidar KC: 2009. Towards the implementation of the singular function method for singular perturbation problems. Applied Mathematics and Computation, 209, pp 68-74.
Anguelov R, Kalenda O: 2009. The convergence space of minimal usco mappings. Czechoslovak Mathematical Journal, 59 (134), pp 101-128, Full Text
Van der Hoff Q, Greeff JC, Fay TH: 2009. Defining a stability boundary for three species competition models. Ecological Modelling, 220, pp 2640-2645.
Janse van Rensburg NF, Zietsman L, Van der Merwe AJ: 2009. Solvability of a Reissner-Mindlin-Timoshenko plate-beam vibration model. IMA Journal of Applied Mathematics, 74, pp 149-162.
le Roux C: 2009. On flows of third-grade fluids with non-linear slip boundary conditions. International Journal of Non-Linear Mechanics, 44, pp 31-41.
Jordaan KH, Toókos F: 2009. Convexity of the zeros of some orthogonal polynomials and related functions. Journal of Computational and Applied Mathematics, 233, pp 762-767, Full Text
Pienaar E, Whitney SE, Viljoen HJ, Janse van Rensburg NF: 2009. A model of the complex response of Staphylococcus aureus to methicillin. Journal of Theoretical Biology, 257, pp 438-445.
Labuschagne A, Janse van Rensburg NF, Van der Merwe AJ: 2009. Comparison of linear beam theories. Mathematical and Computer Modelling, In Comparison of linear beam theories, 49, pp 20-30.
Labuschagne A, Janse van Rensburg NF, Van der Merwe AJ: 2009. Vibration of a Reissner-Mindlin-Timoshenko plate-beam system. Mathematical and Computer Modelling, 50, pp 1033-1044, Full Text
le Roux C: 2009. Flow of fluids with pressure dependent viscosities in an orthogonal rheometer subject to slip boundary conditions. Meccanica, 44, pp 71-83.
Sango M: 2009. On a nonlinear hyperbolic equation with anisotropy: Global existence and decay of solution. Nonlinear Analysis-Real World Applications, 70, pp 2816-2823.
Anguelov R, Rohwer CH: 2009. LULU operators for functions of continuous argument. Quaestiones Mathematicae, 32, pp 187-202, Full Text
van der Walt JH: 2009. The completion of uniform convergence spaces and an application to nonlinear PDE’s. Quaestiones Mathematicae, 32, pp 371-395.
Mallios A, Ntumba PP: 2009. Fundamentals of symplectic A-modules. Affine Darboux theorem. Rendiconti del Circolo Matematico di Palermo, 58, pp 169-198.
Papers in refereed, published conference proceedings:
Anguelov R, Kojouharov H: 2009. Continuous age-structured model for bovine tuberculosis in African buffalo. In AIP Conference Proceedings: 1st International Conference on Application of Mathematics in Technical and natural Sciences, American Institute of Physics, pp 443-449.
Anguelov R, Popova E: 2009. Reliable simulations for applied dynamical models. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, (ICNAAM 2009), Volume 2, American Institute of Physics, pp 1205-1209.
Anguelov R, Dumont Y, Lubuma JM-S, Shillor M: 2009. Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, (ICNAAM 2009), Volume 2, American Institute of Physics, pp 1213-1216.
Anguelov R, Dumont Y, Lubuma JM-S, Shillor M: 2009. Comparison of some standard and non-standard numerical methods for the MSEIR epidemiological model. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, (ICNAAM 2009), Volume 2, American Institute of Physics, pp 1209-1212.
|
