Numerical solution of the Fokker Planck equation for the probability density function of a stochastic process by traditional finite difference or finite element methods produces erroneous oscillations and negative values whenever the drift is large compared to the diffusion. Upwinding schemes to eli
The application of the finite element library TWODEPEP for the numerical solution of the relativistic Fokker-Planck equation
✍ Scribed by M. Shoucri; V. Fuchs; A. Bers
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 444 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0010-4655
No coin nor oath required. For personal study only.
✦ Synopsis
We report on the application of a commercially available differential equation solver library called TWODEPEP for the numerical solution of the relativistic Fokker-Planck equation. Results obtained by solving the runaway problem, and on the solution of the rf heating problem are presented.
📜 SIMILAR VOLUMES
## Abstract The paper considers the solution of the Fokker‐Planck‐Kolmogorov equation by the finite element method (FEM). The problem is set in a variational formulation suitable for the FEM. Some theoretical aspects related to applying the method are discussed. Discretization of the problem is car
## Abstract In this paper, we will discuss the solution of an initial value problem of parabolic type. The main objective is to propose an alternative method of solution, one not based on finite difference or finite element or spectral methods. The aim of the present paper is to investigate the app
Using the IMSL package TWODEPEP, the full non-relativistic Fokker-Planck equation is solved numerically for the runaway electron distribution function in the presence of a dc electric field. A set of partial integro-differential equations derived from a Legendre expansion of the Fokker-Planck equati
The homogeneous Fokker-Planck-Landau equation is investigated for Coulombic potential and isotropic distribution function, i.e., when the distribution function depends only on time and on the modulus of the velocity. We derive a conservative and entropy decaying semidiscretized Landau equation for w
A new approach for the accurate numerical solution of the Fokker-Planck-Landau (FPL) equation in the nonhomogeneous case is presented. The method couples, through a time-splitting algorithm, a finite-volume scheme for the transport with a fast spectral solver for the efficient solution of the collis