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Rational Chebyshev collocation method for the similarity solution of two dimensional stagnation point flow

Author

Listed:
  • Ahmad Golbabai

    (Iran University of Science and Technology)

  • Sima Samadpour

    (Iran University of Science and Technology)

Abstract

In this study, we propose an efficient and accurate numerical technique that is called the rational Chebyshev collocation (RCC) method to solve the two dimensional flow of a viscous fluid in the vicinity of a stagnation point named Hiemenz flow. The Navier-Stokes equations governing the flow, are reduced to a third-order ordinary differential equation of a boundary value problem with a semi-infinite domain by using similarity transformation. The rational Chebyshev method reduces this nonlinear ordinary differential equation to a system of algebraic equations. This technique is a powerful type of the collocation methods for solving the boundary value problems over a semi-infinite interval without truncating it to a finite domain. We also present the comparison of this work with others and show that the present method is more accurate and efficient.

Suggested Citation

  • Ahmad Golbabai & Sima Samadpour, 2018. "Rational Chebyshev collocation method for the similarity solution of two dimensional stagnation point flow," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(3), pages 505-519, September.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:3:d:10.1007_s13226-018-0280-9
    DOI: 10.1007/s13226-018-0280-9
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