文章基本信息

标题：Quartic B – Spline Method for Solving a Singular Singularly Perturbed Third-Order Boundary Value Problems
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作者：Hradyesh Kumar Mishra ; Sonali saini
期刊名称：American Journal of Numerical Analysis
印刷版ISSN：2372-2118
电子版ISSN：2372-2126
出版年度：2015
卷号：3
期号：1
页码：18-24
DOI：10.12691/ajna-3-1-3
语种：English
出版社：Science and Education Publishing
摘要：In this paper, we study the numerical solution of singular singularly perturbed third-order boundary value problems (BVPs) by using Quartic B-spline method. An efficient algorithm is presented here to solve the approximate solution of the given problem. To understand our method, we introduce the Quartic B-spline basis function in the form of at the different knots. After that we derive our method by using numerical difference formulas to construct the approximate values. Then we use the linear sequence of Quartic B-spline to get the numerical solution of the system of equations. These systems of equations are solved by using MATLAB. Three examples are illustrated to understand the present method.
关键词：Singular singularly perturbed; two-point problem; third-order BVPs; Basis function; Quartic B-spline