A NUMERICAL APPROACH ON HIEMENZ FLOW PROBLEM USING RADIAL BASIS FUNCTIONS

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ABBASBANDI S.; PARAND K.; KAZAEM S.; SANAEI KIA A.R.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:1 Page(s): 65-73

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Title

A NUMERICAL APPROACH ON HIEMENZ FLOW PROBLEM USING RADIAL BASIS FUNCTIONS

Author(s)

ABBASBANDI S. | PARAND K. | KAZAEM S. | SANAEI KIA A.R. | Issue Writer Certificate

Keywords

HIEMENZ FLOWQ2

RADIAL BASIS FUNCTIONSQ2

NAVIER-STOKES EQUATIONSQ2

COLLOCATION METHODQ2

Abstract

In this paper, we propose RADIAL BASIS FUNCTIONS (RBF) to solve the two dimensional flow of fluid near a stagnation point named HIEMENZ FLOW. The NAVIER-STOKES EQUATIONS governing the flow can be reduced to an ordinary differential equation of third order using similarity transformation. Because of its wide applications the flow near a stagnation point has attracted many investigations during the past several decades. We satisfy boundary conditions such as infinity condition, by using Gaussian radial basis function through the both differential and integral operations. By choosing center points of RBF with shift on one point in uniform grid, we increase the convergence rate and decrease the collocation points.

Cites

NUMERICAL SOLUTION OF THE SYSTEM OF VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND

References

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APA: Copy

ABBASBANDI, S., PARAND, K., KAZAEM, S., & SANAEI KIA, A.R.. (2013). A NUMERICAL APPROACH ON HIEMENZ FLOW PROBLEM USING RADIAL BASIS FUNCTIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(1), 65-73. SID. https://sid.ir/paper/231647/en

Vancouver: Copy

ABBASBANDI S., PARAND K., KAZAEM S., SANAEI KIA A.R.. A NUMERICAL APPROACH ON HIEMENZ FLOW PROBLEM USING RADIAL BASIS FUNCTIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(1):65-73. Available from: https://sid.ir/paper/231647/en

IEEE: Copy

S. ABBASBANDI, K. PARAND, S. KAZAEM, and A.R. SANAEI KIA, “A NUMERICAL APPROACH ON HIEMENZ FLOW PROBLEM USING RADIAL BASIS FUNCTIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 1, pp. 65–73, 2013, [Online]. Available: https://sid.ir/paper/231647/en

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