Application of successive linearisation method to squeezing flow with bifurcation
Please cite as follows: Motsa, S. S., Makinde, O. D. & Shateyi, S. 2014. Application of successive linearisation method to squeezing flow with bifurcation. Advances in Mathematical Physics, 2014:1-6 (Article ID 410620), doi:10.1155/2014/410620.
The original publication is available at http://www.hindawi.com/journals/amp
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.