Affiliation:
1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, China
Abstract
A mixed Laguerre-Legendre spectral collocation schemes is constructed for initial-boundary value problem of the nonlinear Fokker-Planck nonhomogeneous equations and the linear Fokker-Planck homogeneous equation by using the Laguerre interpolation functions in velocity, and the Legendre interpolation functions in time, which is a bivariate Lagrange interpolation approximation function based on Legendre and Laguerre Gauss quadrature notes. The original problem is changed into a matrix equation and solved by Newton iteration. Numerical experiments show that the algorithm has high accuracy and efficiency.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Henan Province of China