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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 behaviourof porous catalyst particles subject to both internal massconcentration gradients and temperature gradients, inendothermic or exothermic catalytic reactions. A comparison withthe numerical results generated using the inbuilt MATLAB boundaryvalue solver, bvp4c, for different values of the governingphysical parameters is performed and an excellent agreement isachieved. A systematic way of improving the convergence of theSQLM is also presented

On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle