Application of Successive Linearisation Method to Squeezing Flow with Bifurcation

作者:Motsa S S*; Makinde O D; Shateyi S
来源:Advances in Mathematical Physics, 2014, 2014: 410620.
DOI:10.1155/2014/410620

摘要

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.

  • 出版日期2014