Numerical solution for the time-fractional Fokker-Planck equation via shifted Chebyshev polynomials of the fourth kind

DOI10.1186/s13662-020-02779-7zbMath1485.65100OpenAlexW3037868006MaRDI QIDQ2116118

D. L. Suthar, Haile Habenom

Publication date: 16 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02779-7

zbMATH Keywords

finite difference methodfractional Fokker-Planck equationCaputo derivativeshifted Chebyshev polynomials of the fourth kind

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (5)

A comparative analysis of fractional space-time advection-dispersion equation via semi-analytical methods ⋮ Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem ⋮ Numerical solutions for solving model time‐fractional<scp>Fokker–Planck</scp>equation ⋮ Jacobian spectral collocation method for spatio-temporal coupled Fokker-Planck equation with variable-order fractional derivative ⋮ A computational technique for solving the time‐fractional Fokker‐Planck equation

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