Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

Full text (en)

M. E. Dolinska<sup>1

1</sup>Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: In this paper the so-called PDE-method for solution of the Fokker-Planck Equation is proposed to study the beam dynamics in the storage ring, where the stochastic cooling is used. This method has been implemented in the new FOPLEQ code. The results of numerical calculations obtained by this code are presented. Calculated results by PDE-method are compared with other numerical algorithms. Application, stability, convergence and precision of the proposed method are discussed.

Keywords: Fokker-Planck equation, stochastic cooling, evolution of the particle distribution.

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