An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation

DOI10.1016/j.apnum.2021.07.025OpenAlexW3188734037MaRDI QIDQ822176

Dia Zeidan, Sachin Kumar

Publication date: 21 September 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.07.025

zbMATH Keywords

Legendre polynomialadvection-diffusion equationfractional diffusion equationMittag-Leffler kernel fractional derivativereaction term

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Mittag-Leffler functions and generalizations (33E12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (6)

Error estimates of piecewise Hermite collocation method for highly oscillatory Volterra integral equation with Bessel kernel ⋮ Efficient numerical simulations based on an explicit group approach for the time fractional advection-diffusion reaction equation ⋮ Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels ⋮ Numerical solution of a class of Caputo-Fabrizio derivative problem using Haar wavelet collocation method ⋮ Stationary localised patterns without Turing instability ⋮ Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative

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