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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:

Sango M: 2003. On a doubly degenerate quasilinear anisotropic parabolic equation. Analysis, 23, pp 249-260.

Sango M: 2003. Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary. Annales de l' Institut Henri Poincare - Analyse Non Lineaire, 20 (2), pp 183-212.

Sango M: 2003. Local boundedness for doubly degenerate quasi-linear parabolic systems. Applied Mathematics Letters, 16, pp 465-468.

Sango M: 2003. Asymptotic analysis of the initial boundary value problem for the thermoelastic system in a perforated domain. Colloquium Mathematicum, 95 (1), pp 91-115.

Sango M: 2003. On a degenerate quasilinear stochastic parabolic equation. C.R Math Rep Acad Sci Canada, 25 (3), pp 65-70.

Richter CP, Viljoen HJ, Janse van Rensburg NF: 2003. Effective thermal conductivity estimates of particulate mixtures. Journal of Applied Physics, 93 (5) / Mar, pp 2663-2670.

Anguelov R, Lubuma JM-S, Mahudu KS: 2003. Qualitatively stable finite difference schemes for advection-reaction equations. Journal of Computational and Applied Mathematics, 158, pp 19-30.

Lubuma JM-S, Roux A: 2003. An improved Theta-method for Systems of Ordinary Differential Equations. Journal of Difference Equations and Applications, 9 (11) / November, pp 1023-1035.

Zietsman L, van der Merwe AJ, Geldenhuys JJ, Janse van Rensburg NF: 2003. Application of the finite-element method to the vibration of a rectangular plate with elastic support at the boundary. Mathematical and Computer Modelling, 38, pp 309-322.

Grobbelaar-van Dalsen M: 2003. Uniform stabilization of a one-dimensional hybrid thermo-elastic structure. Mathematical Methods in the Applied Sciences, 26, pp 1223-1240.

Anguelov R, Lubuma JM-S: 2003. Nonstandard finite difference method by nonlocal approximation. Mathematics and Computers in Simulation, 61, pp 465-475.

Sango M: 2003. Boundedness of solution for an evolution stochastic partial differential equation with measurable coefficients. Rendiconti - Del Circolo Matematico di Palermo, 2 (52), pp 241-250.

Papers in refereed, published conference proceedings:

Anguelov R, Kama P, Lubuma JM-S: 2003. Nonstandard theta-method and related discrete schemes for the reaction-diffusion equation. In Proceedings of the International Conference of Computational Methods in Sciences and Engineering 2003 (ICCMSE 2003), World Scientific (Singapore), pp 25-27.

 

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