Author: Dolinska, M.
Paper Title Page
WEPC123 Numerical Algorithm based on the PDE Method for the Solution of the Fokker-Planck Equation 2298
 
  • M. Dolinska
    NASU/INR, Kiev, Ukraine
  • C. Dimopoulou, A. Dolinskii, F. Nolden, M. Steck
    GSI, Darmstadt, Germany
 
  Funding: Work supported by HIC for FAIR
This paper discus a fast and accurate algorithm for numerical solution of Fokker-Planck equation based on the solution of the parabolic Partial Differential Equations (PDE), where the Crank–Nicholson scheme is used. The stability, convergence and round-off errors of the algorithm are studied. The numerical results on Fokker–Planck equation solution with PDE method are compared with other numerical methods. Using the PDE solver, we will be able to predict the stochastic cooling process of notch filter in storage rings.