Composite spectral collocation method of Legendre-Legendre rational polynomials for the Fokker–Planck equation on unbounded domain

Key Points

• The composite spectral collocation method effectively addresses the Fokker-Planck equation, which models various diffusion processes.
• This method shows improved convergence properties compared to traditional approaches in solving differential equations.
• Analysis included various cases to validate performance metrics, highlighting efficiency over a range of boundary conditions.
• This methodology may enable better simulation of physical processes on unbounded domains, with potential applications in multiple fields.