Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative

DOI10.1016/j.camwa.2022.08.040OpenAlexW4294993078MaRDI QIDQ2094330

M. Hosseininia, Mohsen Razzaghi, Mohammad Heydari

Publication date: 28 October 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.08.040

zbMATH Keywords

fractional Fokker-Planck equationmeshless local Petrov-Galerkin methodmoving Kriging interpolationAtangana-Baleanu-Caputo fractional derivative\((3-\beta)\)-order approximation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items

An efficient Jacobi spectral method for variable-order time fractional 2D Wu-Zhang system ⋮ A hybrid spectral approach based on 2D cardinal and classical second kind Chebyshev polynomials for time fractional 3D Sobolev equation

Cites Work

• Unnamed Item
• Unnamed Item
• The numerical solution of Fokker-Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa's approach and Galerkin method
• A local Petrov-Galerkin approach with moving Kriging interpolation for solving transient heat conduction problems
• Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives
• The couple of Hermite-based approach and Crank-Nicolson scheme to approximate the solution of two dimensional stochastic diffusion-wave equation of fractional order
• The Fokker-Planck equation. Methods of solution and applications
• Finite difference approximations for the fractional Fokker-Planck equation
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Numerical solution of non-linear Fokker-Planck equation using finite differences method and the cubic spline functions
• Numerical solution for fractional model of Fokker-Planck equation by using q-HATM
• Numerical solutions for solving time fractional Fokker-Planck equations based on spectral collocation methods
• Numerical solution of a time-space fractional Fokker Planck equation with variable force field and diffusion
• A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative
• On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives
• A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation
• Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative
• The special functions and their approximations. Vol. I, II
• Numerical solution strategy for natural convection problems in a triangular cavity using a direct meshless local Petrov-Galerkin method combined with an implicit artificial-compressibility model
• An efficient approach based on Legendre-Gauss-Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations
• Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher-Kolmogorov equation
• An efficient meshless method based on the moving Kriging interpolation for two‐dimensional variable‐order time fractional mobile/immobile advection‐diffusion model
• A numerical method for variable‐order fractional version of the coupled 2D Burgers equations by the 2D Chelyshkov polynomials
• A moving Kriging‐based MLPG method for nonlinear Klein–Gordon equation