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Faculty of Natural and Agricultural Sciences
Department of Mathematics and Applied Mathematics

Partial differential equations, their numerical analysis and mathematical modelling - Research Output

Research articles in refereed specialist journals:

Rosinger EE: 2010. Space-time foam differential algebras of generalized functions and a global Cauchy-Kovalevskaia theorem. Acta Applicandae Mathematicae, (109), pp 439-462.

Chin PWM, Djoko Kamdem J, Lubuma JM-S: 2010. Reliable numerical schemes for a linear diffusion equation on a nonsmooth domain. Applied Mathematics Letters, (23), pp 544-548, Full Text

Woukeng Feudjio JL: 2010. Stability under composition of some classes of functions and applications to homogenization theory. Applied Mathematics Letters, (23), pp 1342-1345.

Deugoue G, Sango M: 2010. On the strong solution for the 3D stochastic Leray-Alpha model. Boundary Value Problems, 2010 (ID 723018), p. 31 pages electronic article, Full Text

Razafimandimby PA, Sango M: 2010. Weak solutions of a stochastic model for two-dimensional second grade fluids. Boundary Value Problems, 2010 (ID 636140), p. 47 pages electronic article, Full Text

Woukeng Feudjio JL: 2010. Reiterated homogenization of nonlinear pseudo monotone degenerate parabolic operators. Communications in Mathematical Analysis, 9 (2), pp 98-129, Full Text

Nguetseng G, Sango M, Woukeng Feudjio JL: 2010. Reiterated ergodic algebras and applications. Communications in Mathematical Physics, (300), pp 835-876.

Razafimandimby PA, Sango M: 2010. Asymptotic behavior of solutions of stochastic evolution equations for second grade fluids. Comptes Rendus De L Academie Des Sciences Serie I-Mathematique, (348), pp 787-790, Full Text

Sauer N: 2010. An excursion into classical nonlinear acoustics. International Journal of Engineering Science, (48), pp 670-684, Full Text

Phiri PA, Makinde OD: 2010. A new derivative-free method for solving nonlinear equations. International Journal Of Physical Sciences, 5 (7), pp 935-939, Full Text

Anguelov R, Popova E: 2010. Topological structure preserving numerical simulations of dynamical models. Journal of Computational and Applied Mathematics, (235), pp 358-365, Full Text

Razafimandimby PA: 2010. On stochastic models describing the motions of randomly forced viscoelastic fluids. Journal of Inequalities and Applications, 2010 (ID 932053), p. 27 pages electronic article, Full Text

Anguelov R, Lubuma JM-S, Minani F: 2010. Total variation diminishing nonstandard finite difference schemes for conservation laws. Mathematical and Computer Modelling, 51, pp 160-166, Full Text

Mureithi EW, Mason DP: 2010. Local non-similarity solutions for a forced-free boundary layer flow with viscous dissipation. Mathematical & Computational Applications, 15 (4), pp 558-573, Full Text

Siewe-Siewe M, Tchawoua C, Woafo P: 2010. Melnikov chaos in a periodically driven Rayleigh-Duffing oscillator.. Mechanics Research Communications, (37), pp 363-368.

Sango M: 2010. Homogenization of the Neumann problem for a quasilinear elliptic equation in a perforated domain. Networks And Heterogeneous Media, 5 (2), pp 361-384, Full Text

Nguetseng G, Nnang H, Woukeng Feudjio JL: 2010. Deterministic homogenization of integral functionals with convex integrands. Nodea-Nonlinear Differential Equations and Applications, (17), pp 757-781, Full Text

Siewe-Siewe M, Yamgoué SB, Moukam Kakmeni FM, Tchawoua C: 2010. Chaos controlling self-sustained electromechanical seismograph system based on the Melnikov theory. Nonlinear Dynamics, 62, pp 379-389.

Sango M: 2010. Magnetohydrodynamic turbulent flows: Existence results. Physica D-Nonlinear Phenomena, (239), pp 912-923.

Siewe-Siewe M: 2010. Resonance, stability and period-doubling bifurcation of a quarter-car model excited by the road surface profile. Physics Letters A, (374), pp 1469-1476, Full Text

Sango M: 2010. Density dependent stochastic Navier-Stokes equations with non-Lipschitz random forcing. Reviews in Mathematical Physics, 22 (6), pp 669-697.

Chapwanya M, Stockie JM: 2010. Numerical simulations of gravity-driven fingering in unsaturated porous media using a nonequilibrium model. Water Resources Research, 46, pp 1-16, Full Text

Janse van Rensburg NF, van der Merwe AJ, Roux A: 2010. Waves in a vibrating solid with boundary damping. Wave Motion, 47 (8) / Dec, pp 663-675.

Papers in refereed, published conference proceedings:

Anguelov R: 2010. Structurally stable numerical schemes for applied dynamical models. In Proceedings of the 7th International Conference on Large Scale Scientific Computing (LSSC) 2009, Springer-Verlag, Berlin, Heidelberg, pp 554-562.

Anguelov R, Markov S, Minani F: 2010. Hausdorff continuous viscosity solutions of Hamilton-Jacobi equations. In Proceedings of the 7th International Conference on Large Scale Scientific Computing (LSSC) 2009, Springer-Verlag, Berlin, Heidelberg, pp 231-238.

 

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