Application of Successive Linearisation Method to Squeezing Flow with Bifurcation

Abstract EN

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.