Series solutions of coupled differential equations with one regular singular point

被引：18

作者：

Tomantschger, KW ^{[1
]}

机构：

[1] Graz Tech Univ, Dept Math, A-8010 Graz, Austria

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 140卷 / 1-2期

关键词：

coupled ordinary differential equations; regular singular point; series solutions in closed form; extended Frobenius' method; indicial equations; modified Bessel functions; boundary conditions; micropolar theory;

D O I：

10.1016/S0377-0427(01)00598-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider two linear second-order ordinary differential equations. r = 0 is a regular singular point of these equations. Applying the classical Method of Frobenius, we do not obtain any indicial equation and therefore no solution, because the differential equations are coupled. In this paper, we present an extended Method of Frobenius on a coupled system of two ordinary differential equations. These equations come from the micropolar theory, which is one of the three kinds of the new 3M physics. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：773 / 783

页数：11

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