On new high order quasilinearization approaches to the nonlinear model of catalytic reaction in a flat particle
CITATION: Motsa, S. S., Makinde, O. D. & Shateyi, S. 2013. On new high order quasilinearization approaches to the nonlinear model of catalytic reaction in a flat particle. Advances in Mathematical Physics, 2013, Article ID 350810, doi:10.1155/2013/350810.
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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.