شماره ركورد كنفرانس :
3751
عنوان مقاله :
An approximation scheme to solve steady flow of a third grade fluid via rational Bessel functions
پديدآورندگان :
Ghaderi Amin amin.g.ghaderi@gmail.com Department of Computer Sciences, Shahid Beheshti University, G.C., Tehran, Iran , Parand Kourosh k_parand@sbu.ac.ir Department of Cognitive Modelling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, G.C., Tehran, Iran
كليدواژه :
Rational Bessel functions , Steady flow of a third , grade fluid , Approximation approach , Non , linear differential equation , Semi , infinite domain.
عنوان كنفرانس :
دومين كنفرانس ملي رياضي: مهندسي پيشرفته با تكنيك هاي رياضي
چكيده فارسي :
Abstract. In this work, a numerical Collocation approach based on rational Bessel functions is introduced to solve steady flow of a third-grade non-Newtonian fluid in a porous half space. The problem is described as a nonlinear two-point boundary value equation on a semi-infinite interval. We find the simplest solution of the non-dimensional fluid velocity function by utilizing Collocation points over the almost whole domain [0,∞), and elucidate the effects of different parameters of interest with the graphical and tabular reports. Our method reduces the problem to the solution of a system of nonlinear equations with unknown Bessel coefficients. The results of the comparison between the present solution and other numerical methods illustrate that the approach is accurate and applicable.
