Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation
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Publication:725860
DOI10.1007/s40314-017-0455-8zbMath1394.76068arXiv1605.06744OpenAlexW2405742137MaRDI QIDQ725860
Publication date: 2 August 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.06744
Bernstein polynomialsoperational matrixfractional PDEsdual Bernstein basis2D subdiffusiondual-Petrov-Galerkin
Spectral methods applied to problems in fluid mechanics (76M22) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items (6)
A hybrid method for solving time fractional advection-diffusion equation on unbounded space domain ⋮ Least squares support vector regression for differential equations on unbounded domains ⋮ Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations ⋮ Discrete maximum principle and positivity certificates for the Bernstein dual Petrov-Galerkin method ⋮ Fast and accurate evaluation of dual Bernstein polynomials ⋮ Differential-recurrence properties of dual Bernstein polynomials
Uses Software
Cites Work
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