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

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