Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems

被引：7
|
作者：
Lodhi, Ram Kishun [1 ]
Mishra, Hradyesh Kumar [1 ]
机构：
[1] Jaypee Univ Engn & Technol, Dept Math, AB Rd Raghogarh, Guna 473226, MP, India
来源：
AIN SHAMS ENGINEERING JOURNAL | 2018年 / 9卷 / 04期
关键词：
Self-adjoint singularly perturbed boundary value problems; Septic B-spline method; Second-order; Two-point; NUMERICAL-SOLUTION; CUBIC-SPLINES; STIFF;
D O I：
10.1016/j.asej.2016.09.016
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the present paper, we develop a septic B-spline method for solving a self-adjoint singularly perturbed two-point boundary value problem. This method is applied directly to the numerical solution of the problems without reducing its order. The convergence analysis is also given and the method is shown to have a convergence of order six. Numerical illustrations are given at the end to demonstrate the efficiency of our method by using the MATLAB. (C) 2017 Ain Shams University.
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页码：2153 / 2161
页数：9
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