A Mixed FEM for a Time-Fractional Fokker–Planck Model

DOI10.1007/S10915-024-02529-XMaRDI QIDQ6495867

Kassem Mustapha, Samir Karaa, Naveed Ahmed

Publication date: 2 May 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• Unnamed Item
• Unnamed Item
• Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
• The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
• Two mixed finite element methods for time-fractional diffusion equations
• Finite difference approximations for the fractional Fokker-Planck equation
• Optimal error analysis of a FEM for fractional diffusion problems by energy arguments
• Numerical solutions for solving time fractional Fokker-Planck equations based on spectral collocation methods
• Regularity theory for time-fractional advection-diffusion-reaction equations
• Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation
• Well-posedness of time-fractional advection-diffusion-reaction equations
• Galerkin type methods for semilinear time-fractional diffusion problems
• Mixed FEM for time-fractional diffusion problems with time-dependent coefficients
• A new analysis of stability and convergence for finite difference schemes solving the time fractional Fokker-Planck equation
• A high order compact finite difference scheme for time fractional Fokker-Planck equations
• Boundary value problems for the diffusion equation of the variable order in differential and difference settings
• A monotone finite volume method for time fractional Fokker-Planck equations
• Numerical algorithm for the time fractional Fokker-Planck equation
• Numerical Solution of the Time-Fractional Fokker--Planck Equation with General Forcing
• REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
• An Alternate Approach to OptimalL²-Error Analysis of Semidiscrete Galerkin Methods for Linear Parabolic Problems with Nonsmooth Initial Data
• A backward euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation
• Weakly Singular Discrete Gronwall Inequalities
• On the Smoothing Property of the Galerkin Method for Parabolic Equations
• Mixed and Hybrid Finite Element Methods
• A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker--Planck Equation with NonSmooth Initial Data
• Semidiscrete Finite Element Analysis of Time Fractional Parabolic Problems: A Unified Approach
• FEM for time-fractional diffusion equations, novel optimal error analyses
• Numerical Method for The Time Fractional Fokker-Planck Equation
• The time-fractional Cahn–Hilliard equation: analysis and approximation
• A new analysis of a numerical method for the time-fractional Fokker–Planck equation with general forcing
• Long-time behavior of numerical solutions to nonlinear fractional ODEs
• Galerkin Finite Element Methods for Parabolic Problems
• A second-order accurate numerical scheme for a time-fractional Fokker–Planck equation

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