The Legendre wavelet method for solving the steady flow of a third-grade fluid in a porous half space

SeMA Journal ◽  
2019 ◽  
Vol 76 (3) ◽  
pp. 495-503
Author(s):  
Simin Shekarpaz ◽  
Kourosh Parand ◽  
Hossein Azari
Keyword(s):  
Steady Flow ◽  
Half Space ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Wavelet Method ◽  
Grade Fluid ◽  
Porous Half Space ◽  
Legendre Wavelet Method

A New Method for Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space Based on Radial Basis Functions

2011 ◽  
Vol 66 (10-11) ◽  
pp. 591-598 ◽  
Author(s):  
Saeed Kazem ◽  
Jamal Amani Rad ◽  
Kourosh Parand ◽  
Saied Abbasbandy
Keyword(s):  
Half Space ◽  
Radial Basis Functions ◽  
Boundary Value ◽  
Basis Functions ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Collocation Points ◽  
Radial Basis ◽  
Grade Fluid ◽  
Porous Half Space

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.

Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method

2014 ◽  
Vol 69 (3-4) ◽  
pp. 188-194 ◽  
Author(s):  
Kourosh Parand ◽  
Emran Hajizadeh
Keyword(s):  
Boundary Value Problem ◽  
Steady Flow ◽  
Spectral Methods ◽  
Third Grade ◽  
Finite Domain ◽  
Third Grade Fluid ◽  
Infinite Domain ◽  
Grade Fluid ◽  
Porous Half Space ◽  
Methods Numerical

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 twopoint 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.

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