A New Gradient Scheme of a Time Fractional Fokker–Planck Equation with Time Independent Forcing and Its Convergence Analysis

DOI10.1007/978-3-030-43651-3_25zbMath1462.65122OpenAlexW3035589675MaRDI QIDQ5117448

Abdallah Bradji

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_25

zbMATH Keywords

convergenceFokker-Planck equationtime fractionalgradient discretization methodfully discrete implicit gradient scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Fokker-Planck equations (35Q84)

Uses Software

• FODE

Cites Work

• The gradient discretisation method
• Notes on the convergence order of gradient schemes for time fractional differential equations
• A new analysis for the convergence of the gradient discretization method for multidimensional time fractional diffusion and diffusion-wave equations
• Numerical solution of a time-space fractional Fokker Planck equation with variable force field and diffusion
• A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker--Planck Equation with NonSmooth Initial Data
• A Gradient Discretization Method to Analyze Numerical Schemes for Nonlinear Variational Inequalities, Application to the Seepage Problem
• Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

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