Solving Fokker-Planck Equation By Two-Dimensional Differential Transform

CANSU KURT Ü., Ozkan O.

International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS), Waterloo, Kanada, 25 - 29 Temmuz 2011, cilt.1368 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1368
  • Doi Numarası: 10.1063/1.3663463
  • Basıldığı Şehir: Waterloo
  • Basıldığı Ülke: Kanada
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we implement a reliable algorithm to obtain exact solutions for Fokker-Planck equation and some similar equations. The approach rests mainly on two dimensional differential transform method which is one of the approximate methods. The method can easily be applied to many linear and nonlinear problems and is capable of reducing the size of computational work. Exact solutions are obtained easily without linearizing the problem. Some illustrative examples are given to demonstrate the effectiveness of the presented method.