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.
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页码：1919 / 1936
页数：18
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