Efficient algorithms for constraining orientation tensors in Galerkin methods for the Fokker-Planck equation

Iterative methods for solving non linear Fokker-Planck equation

Pseudo-spectral ‎M‎atrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation

This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.

Analysis and Implementation of Numerical Methods for Simulating Dilute Polymeric Fluids

Analysis and Implementation of Numerical Methods for Simulating Dilute Polymeric Fluids David Knezevic Doctor of Philosophy Balliol College Michaelmas Term 2008 In this thesis we develop, analyse and implement a number of numerical methods for simulating dilute polymeric fluids. We use a well-known model in which the polymeric fluid is represented by a suspension of dumbbells in a Newtonian sol...

A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation

The fractional Fokker-Planck equation is often used to characterize anomalous diffusion. In this paper, a fully discrete approximation for the nonlinear spatial fractional Fokker-Planck equation is given, where the discontinuous Galerkin finite element approach is utilized in time domain and the Galerkin finite element approach is utilized in spatial domain. The priori error estimate is derived...

Numerical Studies and Simulation of the Lower Hybrid Waves Current Drive by using Fokker – Planck Equation in NSST and HT-7 Tokamaks

Recent experiments on the spherical tokamak have discovered the conditions to create a powerful plasma and ensure easy shaping and amplification of stability, high bootstrap current and confinement energy. The spherical tours (ST) fusion energy development path is complementary to the tokamak burning plasma experiment such as NSTX and higher toroidal beta regimes and improves the design of a po...