Numerical solution of non-linear Fokker-Planck equation using finite differences method and the cubic spline functions

DOI10.1016/j.amc.2015.03.062zbMath1410.65402OpenAlexW277894173MaRDI QIDQ1663400

Marzieh Karimi Radpoor, B. Sepehrian

Publication date: 21 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.062

zbMATH Keywords

partial differential equationscubic splinecollocation techniquenonlinear Fokker-Planck equationfinite differences method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fokker-Planck equations (35Q84)

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Cites Work

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• Numerical solution of the Fokker Planck equation using moving finite elements
• Stabilized cubic c¹-spline collocation method for solving first-order ordinary initial value problems
• The use of cubic B‐spline scaling functions for solving the one‐dimensional hyperbolic equation with a nonlocal conservation condition
• The use of He's variational iteration method for solving a Fokker–Planck equation

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