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Z. Naturforsch. 69a, 188 – 194
(2014)
doi:10.5560/ZNA.2014-0006
Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method
Department of Computer Sciences, Shahid Beheshti University, G.C., Tehran, Iran
Received June 20, 2013 / revised January 18, 2014 / published online March 5, 2014
Reprint requests to: K. P.; Tel.: +98 21 22431653; Fax: +98 21 22431650, E-mail:
k_parand@sbu.ac.ir
The present study is an attempt to find a solution for steady flow of a third-grade fluid by utilizing spectral methods based on rational Christov functions. This problem is described as a nonlinear two-point boundary value problem. The following method tries to solve the problem on the infinite domain without truncating it to a finite domain and transforms the domain of the problem to a finite domain. Researchers in this try to solve the problem by using anew modified rational Christov functions and normal rational Christov function. Finally, the findings of the current study, i. e., proposal methods, numerical out cames and other methods were compared with each other.
Key words: Non-Newtonian Fluids; Third-Grade Fluid; Collocation Method; Rational Christov Functions; Modified Rational Christov Functions; Nonlinear Ordinary Differential Equations.