An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation

DOI10.1186/s13662-021-03429-2zbMath1494.65088OpenAlexW3165489823MaRDI QIDQ2167009

Mohammad Heydari, Abdon Atangana

Publication date: 25 August 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-021-03429-2

zbMATH Keywords

nonsingular variable-order fractional derivativeorthonormal shifted discrete Legendre polynomialsvariable-order time fractional Sobolev equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (6)

Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher-Kolmogorov equation ⋮ Orthonormal discrete Legendre polynomials for nonlinear reaction‐diffusion equations with ABC fractional derivative and non‐local boundary conditions ⋮ A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation ⋮ Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation ⋮ A hybrid approach established upon the Müntz‐Legender functions and 2D Müntz‐Legender wavelets for fractional Sobolev equation ⋮ Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag-Leffler kernel by finite difference and local discontinuous Galerkin methods

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