Abstract
In the current work, a mathematical model which describes the steady flow of a third grade fluid in a porous half space
is investigated numerically. An approximate expression for solution
of the governing non-linear two point boundary value problem on
semi-infinite domain is developed as a combination of rational Bernstein functions. A spectral collocation method based on the rational
Bernstein functions is introduced and implemented to find numerical solution of the governing problem. The efficiency and accuracy
of the proposed numerical technique is illustrated through the figures
and tables. The effects of variations of various embedded parameters
on the fluid velocity profile have been investigated graphically.
Kobra Karimi, Alireza Bahadorimrhr. (2017) Rational Bernstein Collocation Method for Solving the Steady Flow of a Third Grade Fluid in a Porous Half Space, Punjab University Journal of Mathematics, Volume 49, Issue 1.
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