On the Successive Linearisation Approach to the Flow of Reactive Third-Grade Liquid in a Channel with Isothermal Walls

Abstract EN

The nonlinear differential equations modeling flow of a reactive third-grade liquid between two parallel isothermal plates is investigated using a novel hybrid of numerical-analytical scheme known as the successive linearization method (SLM).

Numerical and graphical results obtained show excellence in agreement with the earlier results reported in the literature.

A comparison with numerical results generated using the inbuilt MATLAB boundary value solver bvp4c demonstrates that the new SLM approach is a very efficient technique for tackling highly nonlinear differential equations of the type discussed in this paper.