Application of Fluctuationlessness Theorem on the Numerical Solution of Higher Order Linear Ordinary Differential Equations


Altay N., Demiralp M.

International Conference on Numerical Analysis and Applied Mathematics, Psalidi, Yunanistan, 16 - 20 Eylül 2008, cilt.1048, ss.52-53 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1048
  • Basıldığı Şehir: Psalidi
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.52-53
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

This work focuses on the numerical solution of ordinary differential equations in the absence of fluctuation. Here only the initial value problems are considered and the solutions are obtained over the unit interval [0, 1]. The main purpose of this work is to obtain a general procedure for the numerical solution of Ordinary Differential Equations. Although there are many methods for these problems, the method that we develop here has some impressive features. Numerical solution approximates to the exact solution rapidly without using too many mesh points.