Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D

作者：

Highlights：

• Explicit Schemes in generalized finite differences for solving non-linear Fokker-Plank equations are proposed.

• Criteria and theorems for convergence of explicit schemes over irregular clouds of nodes in 2D and 3D are given.

• Applications for solving different linear and non-linear Fokker-Plank equations in 2D and 3D are presented.

摘要

•Explicit Schemes in generalized finite differences for solving non-linear Fokker-Plank equations are proposed.•Criteria and theorems for convergence of explicit schemes over irregular clouds of nodes in 2D and 3D are given.•Applications for solving different linear and non-linear Fokker-Plank equations in 2D and 3D are presented.

论文关键词：Meshless methods,Generalized finite difference method,Fokker-Planck equation

论文评审过程：Received 17 December 2018, Revised 24 September 2019, Accepted 30 September 2019, Available online 24 October 2019, Version of Record 24 October 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.124801