A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Fokker-Planck Equation with Nonsmooth Solution

DOI10.4208/EAJAM.260119.140319zbMath1462.35451OpenAlexW3000353338MaRDI QIDQ4986588

Shucun Li, Weiping Bu, Junjie Wang, Wei Zeng, Ai-Guo Xiao

Publication date: 27 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.260119.140319

zbMATH Keywords

error estimatenonsmooth solutiontime fractional Fokker-Planck equationgeneralised Jacobi functionsspace-time Petrov-Galerkin spectral method

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) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (2)

بررسی عددی یک طرح تفاضلی جدید روی یک شبکه مدرج برای حل معادلات زیر-انتشار کسری زمانی-مکانی با جوابهای ناهموار ⋮ Novel spectral schemes to fractional problems with nonsmooth solutions

Uses Software

• FODE

Cites Work

• Finite difference approximations for the fractional Fokker-Planck equation
• Numerical algorithm for the time fractional Fokker-Planck equation
• Generalized Jacobi functions and their applications to fractional differential equations
• Numerical Method for The Time Fractional Fokker-Planck Equation
• Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

This page was built for publication: A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Fokker-Planck Equation with Nonsmooth Solution