Application of Successive Linearisation Method to Squeezing Flow with Bifurcation

S. S. Motsa, O. D. Makinde and S. Shateyi

Advances in Mathematical Physics, 2014, vol. 2014, 1-6

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:410620

DOI: 10.1155/2014/410620

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