Numerical Algorithm Based on Quintic Nonpolynomial Spline for Solving Third-Order Boundary Value Problems Associated with Draining and Coating Flows

A numerical algorithm is developed for the approximation of the solution to certain boundary value problems involving the third-order ordinary differential equation associated with draining and coating flows. The authors show that the approximate so- lutions obtained by the numerical algorithm devel...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2012-11, Vol.33 (6), p.831-840
Main Authors: Srivastava, Pankaj Kumar, Kumar, Manoj
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
三阶常微分方程
三阶边值问题
区域分解方法
多项式样条
排水
数值算法
求解
涂料
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Summary:A numerical algorithm is developed for the approximation of the solution to certain boundary value problems involving the third-order ordinary differential equation associated with draining and coating flows. The authors show that the approximate so- lutions obtained by the numerical algorithm developed by using uonpolynomial quintic spline functions ave better than those produced by other spline and domain decomposition methods. The algorithm is tested on two problems associated with draining and coating flows to demonstrate the practical usefulness of the approach.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-012-0749-5