Numerical techniques for behavior of incompressible flow in steady two-dimensional motion due to a linearly stretching of porous sheet based on radial basis functions

被引:0
作者
Parand, Kourosh [1 ,2 ]
Lotfi, Yasaman [1 ]
Rad, Jamal Amani [2 ]
机构
[1] Shahid Beheshti Univ, Fac Math Sci, Dept Comp Sci, Gc Tehran, Iran
[2] Shahid Beheshti Univ, Inst Cognit & Brain Sci, Dept Cognit Modeling, Gc Tehran, Iran
来源
NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2019年 / 8卷 / 01期
关键词
Radial basis functions; Collocation method; Direct multiquadric; Indirect inverse multiquadric; System of nonlinear ODE; PROBABILITY DENSITY-FUNCTION; FUNCTION COLLOCATION METHOD; DATA APPROXIMATION SCHEME; OPTIMAL SHAPE-PARAMETERS; JUMP-DIFFUSION MODELS; MICROPOLAR FLUID; HEAT-TRANSFER; DIFFERENTIAL-EQUATIONS; PARABOLIC EQUATION; RBF INTERPOLATION;
D O I
10.1515/nleng-2018-0029
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper the boundary layer flow of a micropolar fluid due to a linearly stretching sheet which is a nonlinear system two-point boundary value problem (BVP) on semi-infinite interval has been considered. This the sheets are included the suction and injection. We solve this problem by two different collecation approaches and compare their results with solution of other methods. The proposed approaches are equipped by the direct (DRBF) and indirect radial basis functions (IRBF). Direct approach (DRBF) is based on a differential process and indirect approach (IRBF) is based on an integration process. These methods reduce solution of the problem to solution of a system of algebraic equations. Numerical results and residual norm show that the IRBF performs better than the common DRBF, and has an acceptable accuracy and high rate of convergence of IRBF process.
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页码:80 / 93
页数:14
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