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Application of Successive Linearisation Method to Squeezing Flow with Bifurcation

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  • S. S. Motsa
  • O. D. Makinde
  • S. Shateyi

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.

Suggested Citation

  • S. S. Motsa & O. D. Makinde & S. Shateyi, 2014. "Application of Successive Linearisation Method to Squeezing Flow with Bifurcation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:410620
    DOI: 10.1155/2014/410620
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    References listed on IDEAS

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    1. Z. G. Makukula & P. Sibanda & S. S. Motsa & S. Shateyi, 2011. "On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-19, November.
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