DOUBLE EXPONENTIAL EULER–SINC COLLOCATION METHOD FOR A TIME–FRACTIONAL CONVECTION–DIFFUSION EQUATION

DOI10.22190/FUMI1904745EzbMath1474.65386WikidataQ115496327 ScholiaQ115496327MaRDI QIDQ3388616

Ali Eftekhari

Publication date: 6 May 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

zbMATH Keywords

Caputo fractional derivativetime-fractional convection-diffusion equationdouble exponentialEuler-sinc collocationshifteted Legendre polynomials

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Elementary classical functions (33B99) Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Uses Software

• Sinc-Pack

Cites Work

• Unnamed Item
• Some identities on Bernoulli and Euler polynomials arising from orthogonality of Legendre polynomials
• The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
• Sinc collocation-interpolation method for the simulation of nonlinear waves
• Recent developments of the Sinc numerical methods.
• A Lagrange regularized kernel method for solving multi-dimensional time-fractional heat equations
• Gegenbauer spectral method for time‐fractional convection–diffusion equations with variable coefficients

This page was built for publication: DOUBLE EXPONENTIAL EULER–SINC COLLOCATION METHOD FOR A TIME–FRACTIONAL CONVECTION–DIFFUSION EQUATION