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

Ahmad Golbabai () and Sima Samadpour ()
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Ahmad Golbabai: Iran University of Science and Technology
Sima Samadpour: Iran University of Science and Technology

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 3, 505-519

Abstract: 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.

Keywords: Hiemenz flow; stagnation point; collocation method; rational Chebyshev; boundary value problem (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0280-9

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