Series solutions of coupled differential equations with one regular singular point

Research output: Contribution to journalArticle

Abstract

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
Original languageEnglish
Pages (from-to)773-783
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume140
Issue number1-2
DOIs
Publication statusPublished - 2002

Keywords

  • Coupled ordinary differential equations; Regular singular point; Series solutions in closed form; Extended Frobenius method; Indicial equations; Modified Bessel functions; Boundary conditions; Micropolar theory.

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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