Browsing by Author "Motsa, S. S."

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    Application of successive linearisation method to squeezing flow with bifurcation
    (Hindawi Publishing Corporation, 2014-01-02) Motsa, S. S.; Makinde, O. D.; Shateyi, S.
    This paper employs the computational approach known as successive linearization method (SLM) to tackle a fourth order nonlinear differential equation modelling the transient flow of an incompressible viscous fluid between two parallel plates produced by a simple wall motion. Numerical and graphical results obtained show excellent agreement with the earlier results reported in the literature. We obtain solution branches as well as a turning point in the flow field accurately. A comparison with numerical results generated using the inbuilt MATLAB boundary value solver, bvp4c, demonstrates that the SLM approach is a very efficient technique for tackling highly nonlinear differential equations of the type discussed in this paper.
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    On new high order quasilinearization approaches to the nonlinear model of catalytic reaction in a flat particle
    (Hindawi Publishing Corporation, 2013) Motsa, S. S.; Makinde, O. D.; Shateyi, S.
    A novel computational approach known as pseudospectral quasilinearization (SQLM) is employed to tackle the two-point boundary value problem describing the reactivity behaviour of porous catalyst particles subject to both internal mass concentration gradients and temperature gradients, in endothermic or exothermic catalytic reactions. A comparison with the numerical results generated using the inbuilt MATLAB boundary value solver, bvp4c, for different values of the governing physical parameters is performed and an excellent agreement is achieved. A systematic way of improving the convergence of the SQLM is also presented.