## 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
A deterministic particle method for transport diffusion equations: Application to the Fokker-Planck equation
β Scribed by F. Hermeline
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 881 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0021-9991
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π SIMILAR VOLUMES
A proof of high-order convergence of three deterministic particle methods for the convectiondiffusion equation in two dimensions is presented. The methods are based on discretizations of an integro-differential equation in which an integral operator approximates the diffusion operator. The methods d
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