Arbitrary order numerical method for solving differential-algebraic equation by Pade series


Celik E., Bayram M.

APPLIED MATHEMATICS AND COMPUTATION, vol.137, no.1, pp.57-65, 2003 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 137 Issue: 1
  • Publication Date: 2003
  • Doi Number: 10.1016/s0096-3003(02)00080-2
  • Title of Journal : APPLIED MATHEMATICS AND COMPUTATION
  • Page Numbers: pp.57-65

Abstract

In this paper, the solution for a differential-algebraic equation can be expanded up to arbitrary order using MAPLE computer algebra systems [MAPLE V, CRC Press, Boca Raton, FL 33431, 1996]. First we calculate power series of the given equations system then transform it into Pade series form, which give an arbitrary order for solving differential-algebraic equation numerically. (C) 2002 Elsevier Science Inc. All rights reserved.