UNIVERSITY OF THE WITWATERSRAND, JOHANNESBURG

Associate Professor Joel Moitsheki

Associate Professor Joel Moitsheki
Qualifications:BSc (Ed), BSc (Honours), MSc (North West University, Mahikeng Campus), PhD (University of Wollongong, Australia), Professional Natural Scientist (Pr.Sci.Nat.), Accredited Member of the Australian Mathematics Society (MAustMS)
Phone: 27117176133
Fax: 27117176149
Email:raseelo.moitsheki@wits.ac.za
Organisational Unit:School of Computational & Applied Mathematics
Room:First Floor Senate House Room SH1152
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M oitsheki is an Associate Professor in the School of Computational and Applied Mathematics, University of the Witwatersrand. He is a teacher by profession. He completed a Bachelor of Science in Education degree at the North West University Mahikeng Campus (then University of Bophuthatswana). He received his doctorate in Applied Mathematics from the University of Wollongong, Australia. He is a rated scientist by the National Research Foundation of South Africa. Professor Moitsheki is a member of the South African Mathematics Society, the Australian Mathematics Society and the South African Council for Natural Scientific Professions. He is a registered Professional Natural Scientist.

 

Research Interests

My interests are into non-linear Applied Partial Differential Equations (PDEs) in particular, invariant solutions of nonlinear boundary value problems and applications to real world phenomena. Furthermore I am interested in Lie symmetry analysis of differential equations, using computer algebra with special interest to classical and non-classical point symmetries, equivalence transformations, non-local symmetries, conservation laws and higher order symmetries. The main emphasis is to models arising in heat transfer in extended surfaces, water and contaminant transport in soils, linear and nonlinear PDEs arising in financial derivative pricing

Research Productivity

1. Editorial Board Member: Int. J. Phy. Math. Sc.

2. Postgraduate Supervision

(a) Doctoral

(i) Don Mhlongo, in progress

(ii) Pauline Ntsime, in progress

(b) Masters

(i) Luyanda Ndlovu, in progress

(ii) Moshe Potsane, in progress

(iii) Kamogelo Moleofane, in progress

(iv) Zwelithini Mkhonte, in progress

(c) Honours projects

(i) More than ten honours projects, completed

(ii) Three in progress

 

Publications

C. Harley and R.J. Moitsheki
Numerical investigation of the temperature profile in a rectangular longitudinal fin
ISBN: 1468-1218, Journal: Nonlinear Analysis: Real World Applications
- Year: 13(5) 2343-2351, 2012
R.J. Moitsheki and M.D. Mhlongo
Classical Lie symmetry analysis of a nonlinear one-dimensional steady fin problem
ISBN: 1110-757X (Print), 1687-0042 (Online) , Journal: Journal of Applied Mathematics
- Year: Volume (2012) Article ID 671548, 13 pages. DOI.10.1155/2012/671548
R.J. Moitsheki and C. Harley
Steady thermal analysis of two-dimensional cylindrical pin fin with a non-constant base temperature
ISBN: 1024-123X (Print), 1563-5147 (Online), Journal: Mathematical Problem in Engineering
- Year: Volume 2011, Article ID 132457, 17 pages. DOI:10.1155/2011/132457 2011
R.J. Moitsheki and C. Harley
Transient heat transfer in longitudinal fin of various profiles with temperature-dependent thermal conductivity and heat transfer coefficient
ISBN: 0304-4289, Journal: Pramana: Journal of Physics
- Year: 77(3): 519-532, 2011
O.D. Makinde and R.J. Moitsheki
On symmetry reduction and computational dynamics of a nonlinear reaction-diffusion problem with variable thermal conductivity
ISBN: 1992-1950, Journal: International Journal of Physical Sciences
- Year: 6(7): 1749 ? 1754, 2011
R.J. Moitsheki and Atish Rowjee
Steady heat transfer in a two-dimensional straight fin
ISBN: 1024-123X (Print), 1563-5147 (Online), Journal: Mathematical Problems in Engineering
- Year: Volume 2011, Article ID 826819, 13 pages. DOI:10.1155/2011/826819.
R.J. Moitsheki
Steady one-dimensional heat flow in a longitudinal triangular and parabolic fin
ISBN: 1007-5704 , Journal: Communications in Nonlinear Science and Numerical Simulation
- Year: 16(10): 3971-3980, 2011
R.J. Moitsheki
Steady heat transfer through a radial fin with rectangular and hyperbolic profile
ISBN: 1468-1218 , Journal: Nonlinear Analysis: Real World Problems
- Year: 12(2): 867-874, 2011.
T. Hayat, R.J. Moitsheki and S. Abelman
Stokes first problem for Sisko fluid over a porous wall
ISBN: 0096-3003 , Journal: Applied Mathematics and Computation
- Year: 17(2): 622-628, 2010.
R.J. Moitsheki, S. Abelman and T Hayat
Symmetry reduction for a flow with power law fluid and contaminant-modified viscosity
ISBN: 1300686X, Journal: Mathematical and Computation with Applications
- Year: 15(4): 685-696, 2010.
O.D. Makinde and R.J. Moitsheki
On solutions of nonlinear heat diffusion model for thermal energy storage problem
ISBN: 1992-1950, Journal: International Journal of Physical Sciences
- Year: 5(3): 246-250, 2010.
R.J. Moitsheki and O.D. Makinde
Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage
ISBN: 0096-3003, Journal: Applied Mathematics and Computation
- Year: 216: 251-260, 2010.
R.J. Moitsheki, T Hayat, M.Y. Malik and F.M. Mahomed
Exact solutions for model describing reaction catalysis
ISBN: 1468-1218, Journal: Nonlinear Analysis: Real World Applications
- Year: 11(4): 3031-3036, 2010.
R.J. Moitsheki, T. Hayat and M.Y. Malik
Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity
ISBN: 1468-1218, Journal: Nonlinear Analysis: Real World Applications
- Year: 11(5): 3287-3294, 2010
R.J. Moitsheki and M.K. Banda
Heat transfer in a convective straight fin with temperature dependent thermal conductivity and heat transfer coefficient
ISBN: 978-983-43090-4-6, Journal: Mathematical Applications in Engineering
- Year: Kuala Lumpur, 3-4 August 2010: pp 388-392
R.J. Moitsheki, T. Hayat and M.Y. Malik
Comparison of symmetry and homotopy solutions for nonlinear heat transfer systems
ISBN: 0096-3003, Journal: Applied Mathematics and Computation
- Year: 215(6): 1995-2000, 2009.
B.F. Nteumagne and R.J. Moitsheki
Optimal systems and group invariant solutions for a model arising in finance mathematics
ISBN: Print: 1392-6292 Online: 1648-3510, Journal: Mathematical Modelling and Analysis
- Year: 14(4): 495-502, 2009
R.J. Moitsheki and O.D. Makinde
Symmetry reductions and solutions for pollutants diffusion in a cylindrical system
ISBN: 0096-3003, Journal: Nonlinear Analysis: Real World Applications
- Year: 10: 3420-3427, 2009
R.J. Moitsheki
Transient heat diffusion with temperature-dependent conductivity and time-dependent heat transfer coefficient
ISBN: 1024-123X (Print), 1563-5147 (Online), Journal: Mathematical Problems in Engineering
- Year: Volume 2008, Article ID 347568, 9 pages, doi:10.155/008/347568, 2008
O.D. Makinde and R.J. Moitsheki
On nonperturbative techniques for thermal radiation effect on natural convection past a vertical plated embedded in a saturated porous medium
ISBN: 1024-123X (Print), 1563-5147 (Online), Journal: Mathematical Problems in Engineering
- Year: Volume 2009, Article ID 689074, 10 pages, doi:10.1155/2009/689074, 2008. (4)
R.J. Moitsheki
Lie group analysis of two-dimensional adsorption-diffusion equations
ISBN: 0972-0960, Journal: Far East Journal of Applied Mathematics
- Year: 32(2): 361-373, 2008
R.J. Moitsheki and O.D. Makinde
Application of Lie point symmetry and Adomain decomposition techniques to thermal-storage nonlinear diffusion models
ISBN: 1742-6588 (Print) I1742-6596 (Online) , Journal: IoP Journal of Physics: Conference Series
- Year: 128: 012058, 10 pages, 2008. doi,:10.1088/1742-6596/128/1/012058
R.J. Moitsheki
Lie group analysis of a flow with contaminant-modified viscosity
ISBN: 1110-757X (Print), 1687-0042 (Online), Journal: Journal of Applied Mathematics
- Year: 2007(2):1-10, 2007
R.J. Moitsheki and O.D. Makinde
Some invariant solutions for a microwave heating model
ISBN: 0096-3003, Journal: Applied Mathematics and Computation
- Year: 191(2): 308-313, 2007
O.D. Makinde, R.J. Moitsheki and B. A. Tau
Similarity reductions of equations for river pollution
ISBN: 0096-3003, Journal: Applied Mathematics and Computation
- Year: 188: 1267-1273, 2007
R.J. Moitsheki, P. Broadbridge, M.P. Edwards
Group invariant solutions for two dimensional solute transport under realistic water flows
ISBN: 1607-3606, Journal: Quaestiones Mathematicae
- Year: 29(1): 73-83, 2006
R.J. Moitsheki
Contaminant transport in unsaturated soils under steady water flow background: a mathematical analysis
ISBN: 1-77012-013-0, Journal: International Science and Technology Conference (ISTC06)
- Year: 76-86, 2006
R.J. Moitsheki, P. Broadbridge, M.P. Edwards
Symmetry Solutions for Transient Solute Transport in Unsaturated Soils with realistic water profile
ISBN: I0169-3913 (print version): 1573-1634 (electronic version) , Journal: Transport in Porous Media
- Year: 61(1): 109-125, 2005
R.J. Moitsheki, P. Broadbridge, M.P. Edwards
Systematic construction of hidden nonlocal symmetries for the inhomogeneous nonlinear diffusion equation
ISBN: 0305-4470 (Print): 1361-6447 (Online) , Journal: J. Phys A: Math Gen.
- Year: 37: 8279-8286, 2004
P. Broadbridge, R.J. Moitsheki, M.P. Edwards
Analytical Solutions for Two-Dimensional Solute Transport with Velocity-Dependent Dispersion
ISBN: 0-87590-988-4, Journal: Geophysical Monograph Series: Environmental Mechanics
- Year: 129: 145-153, 2002

Teaching

i. Symmetries Methods for Diffrential Equations (Honours course) 

ii. Applied Differential Equations and Boundary Value Problems (Third year major)

iii. Introductory Statistics (First year service course)