Collocation method using quintic B-spline and sinc functions for solving a model of squeezing flow between two infinite plates

被引：9
|
作者：
Saadatmandi, Abbas [1 ]
Asadi, Afsaneh [1 ]
Eftekhari, Ali [1 ]
机构：
[1] Univ Kashan, Fac Math Sci, Dept Appl Math, Kashan 8731751167, Iran
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2016年 / 93卷 / 11期
关键词：
quintic B-spline; sinc-collocation; squeezing flow; axisymmetric; numerical solution; HOMOTOPY PERTURBATION METHOD; WEAKLY SINGULAR KERNEL; NUMERICAL-SOLUTION; EQUATION; FLUID;
D O I：
10.1080/00207160.2015.1080355
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An axisymmetric viscous flow, generated by two large parallel plates slowly approaching each other is investigated. The steady nonlinear governing equations are converted into a fourth-order nonlinear differential equation using integrability condition. The resulting nonlinear boundary value problem is solved using quintic B-spline collocation and sinc-collocation methods. The approach consists of reducing the problem to a set of algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the techniques and a comparison is made with existing results in the literature.
引用
收藏
页码：1921 / 1936
页数：16
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