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:
Patidar KC: 2005. High order fitted operator numerical method for self-adjoint singular perturbation problems. Applied Mathematics and Computation, 171, pp 547-566.
Anguelov R, Kama P, Lubuma JM-S: 2005. On non-standard finite difference models of reaction-diffusion equations. Journal of Computational and Applied Mathematics, 175, pp 11-29.
Patidar KC: 2005. On the use of nonstandard finite difference methods. Journal of Difference Equations and Applications, 11 (8), pp 735-758.
Labuschagne A, Janse van Rensburg NF, van der Merwe AJ: 2005. Distributed parameter models for a vertical slender structure on a resilient seating. Mathematical and Computer Modelling, 41, pp 1021-1033.
Grobbelaar-van Dalsen M: 2005. Well-posedness of the equations governing the motions of a one-dimensional hybrid thermo-elastic structure. Mathematical Methods in the Applied Sciences, 28, pp 443-455.
le Roux C: 2005. Steady Stokes flows with threshold slip boundary conditions. Mathematical Models & Methods in Applied Sciences, 15 (8), pp 1141-1168.
Sango M: 2005. Existence result for a doubly degenerate quasilinear stochastic parabolic equation. Proceedings of the Japan Academy Series A-Mathematical Sciences, 81, pp 89-94.
Dumont Y, Lubuma JM-S: 2005. Non-standard finite difference methods for vibro-impact problems. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 461, pp 1927-1950.
Anguelov R, Rosinger EE: 2005. Hausdorff continuous solutions of nonlinear PDE's through the order completion method. Quaestiones Mathematicae, 28, pp 271-285.
Anguelov R, Van der Walt JH: 2005. Order convergence structure on C(X). Quaestiones Mathematicae, 28, pp 425-457.
Chapters in books:
Lubuma JM-S, Patidar KC: 2005. Contributions to the theory of non-standard finite difference methods and applications to singular perturbation problems. In Applications of Nonstandard Finite Difference Schemes, (12), World Scientific, pp 513-560.
Gumel A, Patidar KC, Spiteri RJ: 2005. Asymptotically consistent nonstandard finite difference methods for solving mathematical models arising in population biology. In Applications of Nonstandard Finite Difference Schemes, (9), World Scientific, pp 385-421.
Papers in refereed, published conference proceedings:
Lubuma JM-S, Patidar KC: 2005. Finite element methods for self-adjoint singular perturbation problems. In Advances in Computational Methods in Sciences and Engineering 2005: Selected Papers from the International Conference of Computational Methods in Sciences and Engineering 2005 (ICCMSE 2005), VSP Brill Academic Publishers, pp 344-347.
Lubuma JM-S, Patidar KC: 2005. Non-standard finite difference methods for dissipative singular perturbation problems. In Difference Equations and Discrete Dynamical Systems: Proceedings of the 9th International Conference, World Scientific, pp 185-198.
Lubuma JM-S, Patidar KC: 2005. Non-standard finite difference method for singularly perturbed advection reaction equations. In ICNAAM 2005, International Conference on Numerical Analysis and Applied Mathematics 2005: Official Conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Wiley-VCH Verlag GmbH & Co. KGaA, pp 354-356.
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