Computation of Green's functions for boundary value problems with Mathematica

被引：45

作者：

Cabada, Alberto ^{[2
]}

Angel Cid, Jose ^{[1
]}

Maquez-Villamarin, Beatriz ^{[2
]}

机构：

[1] Univ Vigo, Higher Tech Sch Comp Engn, Dept Matemat, Orense 32004, Spain

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 04期

关键词：

Green's function; Boundary value problem; Mathematica package; 2ND-ORDER; EQUATIONS; MAXIMUM; SIGN;

D O I：

10.1016/j.amc.2012.08.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to construct an algorithm that allows us to calculate the explicit expression of the Green's function related to a nth-order linear ordinary differential equation, with constant coefficients, coupled with two-point linear boundary conditions. We develop this algorithm by making a Mathematica package. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1919 / 1936

页数：18

共 50 条

[31] POSITIVITY OF GREEN'S MATRIX OF NONLOCAL BOUNDARY VALUE PROBLEMS
Domoshnitsky, Alexander
MATHEMATICA BOHEMICA, 2014, 139 (04): : 621 - 638
[32] The Green functions of some boundary value problems via the Bernoulli and Euler polynomials
C.-H. Chang
C.-W. Ha
Archiv der Mathematik, 2001, 76 : 360 - 365
[33] The Green functions of some boundary value problems via the Bernoulli and Euler polynomials
Chang, CH
Ha, CW
ARCHIV DER MATHEMATIK, 2001, 76 (05) : 360 - 365
[34] Theory and computation in singular boundary value problems
Al-Khaled, Kamel
CHAOS SOLITONS & FRACTALS, 2007, 33 (02) : 678 - 684
[35] BOUNDARY VALUE PROBLEMS FOR PSEUDOANALYTIC FUNCTIONS
KOPPELMAN, W
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1961, 67 (04) : 371 - &
[36] Numerical study for a class of singular two-point boundary value problems using Green's functions
Cen, Zhongdi
APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (01) : 10 - 16
[37] Positivity and hierarchical structure of Green’s functions of 2-point boundary value problems for bending of a beam
Yoshinori Kametaka
Kazuo Takemura
Yoshiaki Suzuki
Atsushi Nagai
Japan Journal of Industrial and Applied Mathematics, 2001, 18 : 543 - 566
[38] A novel approach based on embedding Green's functions into fixed point iterations for solving boundary value problems
Akewe, Hudson
Okeke, Godwin Amechi
Olaoluwa, Hallowed
Rasulov, Zaur
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2025,
[39] SPECTRAL CHARACTERIZATION OF THE CONSTANT SIGN GREEN'S FUNCTIONS FOR PERIODIC AND NEUMANN BOUNDARY VALUE PROBLEMS OF EVEN ORDER
Cabada, Alberto
Lopez-Somoza, Lucia
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2022, 14 (02): : 335 - 347
[40] POSITIVE SOLUTIONS FOR SECOND-ORDER BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING GREEN'S FUNCTIONS
Cabada, Alberto
Enguica, Ricardo
Lopez-Somoza, Lucia
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,

← 1 2 3 4 5 →