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

DOI10.1016/j.amc.2019.124801zbMath1433.82024OpenAlexW2981587603MaRDI QIDQ2284940

Francisco Ureña, Ángel García Gómez, Juan José Benito, Antonio M. Vargas, Luis Gavete

Publication date: 15 January 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.124801

zbMATH Keywords

Fokker-Planck equationmeshless methodsgeneralized finite difference method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84) Finite difference methods applied to problems in statistical mechanics (82M20)

Related Items (8)

Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method ⋮ Numerical solution of the Fokker-Planck equation using physics-based mixture models ⋮ A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis ⋮ Time-dependent Langevin modeling and Monte Carlo simulations of diffusion in one-dimensional ion channels ⋮ A meshless numerical method for a system with intraspecific and interspecific competition ⋮ A spatio-temporal fully meshless method for hyperbolic PDEs ⋮ Uniform asymptotic behavior of numerical solutions for a predator-prey system with diffusion and chemotaxis ⋮ On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using generalized finite differences

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