2 papers
math.NA2026
Fokker--Planck Dynamics on Star Graphs with Variable Drift: Well-Posedness, Adjoint Analysis, and Numerical Approximation
Ritu Kumari, Cyrille Kenne, Landry Djomegne +1
Stochastic transport processes on networked domains (modelled on metric graphs) arise in a variety of applications where diffusion and drift mechanisms interact with an underlying…
math.NA2025
A stability-enhanced nonstandard finite difference framework for solving one and two-dimensional nonlocal differential equations
Shweta Kumari, Mani Mehra
Standard finite difference (SFD) schemes often suffer from limited stability regions, especially when applied in explicit setup to partial differential equations. To address this c…