On new high order quasilinearization approaches to the nonlinear model of catalytic reaction in a flat particle

Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Abstract
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.
Description
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.
The original publication is available at https://www.hindawi.com/journals/amp
Keywords
Pseudospectral quasilinearization (QSLM), Quasilinearization, Differential equations, Nonlinear, Boundary value problems -- Numerical solutions
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.