A numerical algorithm for the space and time fractional Fokker‐Planck equation

DOI10.1108/09615531211271853zbMath1357.65203OpenAlexW2144926062MaRDI QIDQ2966983

Azim Aminataei, Solat Karimi Vanani

Publication date: 28 February 2017

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615531211271853

zbMATH Keywords

fractional Fokker-Planck equationcomputer algorithmoperational tau methodcomparison of solutionsprogramming and algorithm theoryrate of convergency

Mathematics Subject Classification ID

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 (12)

A backward euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation ⋮ A Jacobi Gauss-Lobatto and Gauss-Radau collocation algorithm for solving fractional Fokker-Planck equations ⋮ An effective numerical simulation for solving a class of Fokker–Planck equations using Laguerre wavelet method ⋮ A numerical algorithm for the space and time fractional Fokker‐Planck equation ⋮ Fractional calculus for nanoscale flow and heat transfer ⋮ Analytical solutions to a fractional generalized two phase Lame-Clapeyron-Stefan problem ⋮ New travelling wave solutions for coupled fractional variant Boussinesq equation and approximate long water wave equation ⋮ An efficient algorithm based on Haar wavelets for numerical simulation of Fokker-Planck equations with constants and variable coefficients ⋮ Approximate solutions of multi-order fractional advection-dispersion equation with non-polynomial conditions ⋮ The transport dynamics in complex systems governing by anomalous diffusion modelled with Riesz fractional partial differential equations ⋮ A two-dimensional Haar wavelet approach for the numerical simulations of time and space fractional Fokker-Planck equations in modelling of anomalous diffusion systems ⋮ Approximation of functions of Lipschitz class and solution of Fokker-Planck equation by two-dimensional Legendre wavelet operational matrix

Uses Software

• FODE

Cites Work

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