Fazal M. Mahomed
University of the Witwatersrand
250 Papers
1.1K Citations
Fazal M. Mahomed is an academic researcher from University of the Witwatersrand. The author has contributed to research in topics: Ordinary differential equation & Differential equation. The author has an hindex of 37, co-authored 246 publications. Previous affiliations of Fazal M. Mahomed include National University of Lesotho & North-West University.
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Papers
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Invariants for systems of two linear hyperbolic-type equations by complex methods
TL;DR: In this article, a subclass of the general system of linear hyperbolic PDEs is investigated for the associated invariants, by complex as well as real methods, and a comparison of all the invariant quantities obtained by complex and real methods for this class is presented which shows that the complex procedure provides a few invariants different from those extracted by real symmetry analysis.
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Linearization of third-order ordinary differential equations u'''=f(x,u,u',u'') via point transformations
TL;DR: In this paper, the Cartan equivalence method is applied to provide an invariant characterization of the linearizable third-order ODE u'''=f(x,u,u',u'') which admits a four-dimensional point symmetry Lie algebra.
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Unsteady magnetohydrodynamic flow of a fourth grade fluid caused by an impulsively moving plate in a Darcy porous medium ߞ A group-theoretical analysis
TL;DR: In this article, the effects of non-Newtonian fluids are investigated by means of an appropriate model studying the flow of a fourth grade fluid, which is described by the unsteady unidirectional flow of an incompressible fluid over an infinite flat plate within a porous medium.
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Conservation Laws and Conserved Quantities for Laminar Radial Jets with Swirl
TL;DR: In this article, a systematic way of deriving conserved quantities for the radial liquid, free and wall jets with swirl is presented, where the multiplier approach is used to derive the conservation laws for the system of three boundary layer equations for the velocity components and for two partial differential equations for stream function.
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Higher Dimensional Systems of Differential Equations Obtained by Iterative Use of Complex Methods
Fazal M. Mahomed,Asghar Qadir +1 more
TL;DR: In this article, the complex splitting is used iteratively to obtain three and four dimensional systems of ODEs and four dimensions systems of PDEs for four functions of two and four variables.
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