|
Z. Naturforsch. 66a, 591 – 598
(2011)
doi:10.5560/ZNA.2011-0014
A New Method for Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space Based on Radial Basis Functions
1 Department of Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran
2 Department of Computer Sciences, Shahid Beheshti University, G.C., Tehran, Iran
Received January 15, 2011 / revised April 25, 2011
Reprint requests to: K. P.; E-mail:
saeedkazem@gmail.com
In this study, flow of a third-grade non-Newtonian fluid in a porous half space has been considered. This problem is a nonlinear two-point boundary value problem (BVP) on semi-infinite interval. We find the simple solutions by using collocation points over the almost whole domain [0,∞ ). Our method based on radial basis functions (RBFs) which are positive definite functions. We applied this method through the integration process on the infinity boundary value and simply satisfy this condition by Gaussian, inverse quadric, and secant hyperbolic RBFs. We compare the results with solution of other methods.
Key words: Third-Grade Fluid; Porous Half Space; Radial Basis Functions; Positive Definite RBFs; Collocation Method.
Mathematics Subject Classification 2000: 34B15; 34B40