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

被引：8

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.

引用

页码：2153 / 2161

页数：9

共 51 条

[1]

Ak T., 2015, J Comput Theor Nanosci, V12, P5995, DOI [10.1166/jctn.2015.4748, DOI 10.1166/JCTN.2015.4748]

[2]

AKRAM G, 2013, MIDDLE EAST J SCI RE, V15, P302, DOI DOI 10.5829/idosi.mejsr.2013.15.2.789

[3] Relativistic evaluation of the two-photon decay of the metastable 1s22s2p 3P0 state in berylliumlike ions with an effective-potential model [J].

Amaro, Pedro ;

Fratini, Filippo ;

Safari, Laleh ;

Machado, Jorge ;

Guerra, Mauro ;

Indelicato, Paul ;

Santos, Jose Paulo .

PHYSICAL REVIEW A, 2016, 93 (03)

[4] Stationary space-periodic structures with equal diffusion coefficients [J].

Andresén, P ;

Bache, M ;

Mosekilde, E ;

Dewel, G ;

Borckmans, P .

PHYSICAL REVIEW E, 1999, 60 (01) :297-301

[5]

[Anonymous], 2014, Statistics, Optimization and Information Computing, DOI DOI 10.19139/SOIC.V2I3.74

[6]

[Anonymous], 2011, APPL MATH

[7]

Aruna K, 2012, J INFORM COMPUT SCI, V7, P303

[8] Quintic spline approach to the solution of a singularly-perturbed boundary-value problem [J].

Aziz, T ;

Khan, A .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 112 (03) :517-527

[9] A spline method for second-order singularly perturbed boundary-value problems [J].

Aziz, T ;

Khan, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 147 (02) :445-452

[10] A computational method for self-adjoint singular perturbation problems using quintic spline [J].

Bawa, RK ;

Natesan, S .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (8-9) :1371-1382

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