B-spline solution of non-linear singular boundary value problems arising in physiology

被引：110

作者：

Caglar, Hikmet ^{[2
]}

Caglar, Nazan ^{[1
]}

Oezer, Mehmet ^{[3
]}

机构：

[1] Istanbul Kultur Univ, Dept Business Adm, TR-34156 Istanbul, Turkey

[2] Istanbul Kultur Univ, Dept Math Comp, TR-34156 Istanbul, Turkey

[3] Istanbul Kultur Univ, Dept Phys, TR-34156 Istanbul, Turkey

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 03期

关键词：

OXYGEN DIFFUSION; SPHERICAL CELL; NUMERICAL-SOLUTION; FINITE-DIFFERENCE; CUBIC SPLINE;

D O I：

10.1016/j.chaos.2007.06.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use B-spline functions to develop a numerical method for computing approximations to the solution of non-linear singular boundary value problems associated with physiology science. The original differential equation is modified at singular point then the boundary value problem is treated by Using B-spline approximation. The numerical method is tested for its efficiency by considering three model problems from physiology. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1232 / 1237

页数：6

共 23 条

[1] A SIMPLIFIED MATHEMATICAL-MODEL OF TUMOR-GROWTH [J].

ADAM, JA .

MATHEMATICAL BIOSCIENCES, 1986, 81 (02) :229-244

[2]

ANDERSON N, 1985, B MATH BIOL, V47, P145, DOI 10.1016/S0092-8240(85)90009-6

[3]

[Anonymous], 1978, A Practical Guide to Splines

[4]

[Anonymous], 1987, Unconstrained Optimization: Practical Methods of Optimization

[5] POINTWISE SOLUTION BOUNDS FOR A CLASS OF SINGULAR DIFFUSION-PROBLEMS IN PHYSIOLOGY [J].

ASAITHAMBI, NS ;

GARNER, JB .

APPLIED MATHEMATICS AND COMPUTATION, 1989, 30 (03) :215-222

[6] B-spline interpolation compared with finite difference, finite element and finite volume methods which applied to two-point boundary value problems [J].

Caglar, Hikmet ;

Caglar, Nazan ;

Elfaituri, Khaled .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (01) :72-79

[7] The numerical solution of third-order boundary-value problems with fourth-degree B-spline functions [J].

Caglar, HN ;

Caglar, SH ;

Twizell, EH .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1999, 71 (03) :373-381

[8] The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions [J].

Çaglar, HN ;

Çaglar, SH ;

Twizell, EH .

APPLIED MATHEMATICS LETTERS, 1999, 12 (05) :25-30

[9]

CAGLAR N, APPL MATH COMPUT, DOI DOI 10.1016/AMC.2006.05.035

[10]

CAGLAR N, 2003, J CONCRETE APPL MATH, V1, P253

← 1 2 3 →