Numerical solution of fokker-planck equation using the cubic B-spline scaling functions
Numerical Methods for Partial Differential Equations, cilt.25, sa.2, ss.418-429, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 2
- Basım Tarihi: 2009
- Doi Numarası: 10.1002/num.20352
- Dergi Adı: Numerical Methods for Partial Differential Equations
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.418-429
- Anahtar Kelimeler: Cubic B-spline, Fokker-planck equation, Nonlinear dynamics, Scaling functions, Wavelets
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
In this article a numerical technique is presented for the solution of Fokker-Planck equation. This method uses the cubic B-spline scaling functions. The method consists of expanding the required approximate solution as the elements of cubic B-spline scaling function. Using the operational matrix of derivative, the problem will be reduced to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces very accurate results. © 2008 Wiley Periodicals, Inc.