Schwartz duality of the Dirac delta function for the Chebyshev collocation approximation to the fractional advection equation

DOI10.1016/j.aml.2016.09.009zbMath1353.65108OpenAlexW2522864033MaRDI QIDQ338992

Jae-Hun Jung, Jingyang Guo, He Yang

Publication date: 7 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.aml.2016.09.009

zbMATH Keywords

numerical resultsGibbs phenomenonfractional derivativeDirac delta functionChebyshev spectral collocation methodfractional advection equationSchwartz duality

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (1)

On the consistency of the finite difference approximation with the Riemann-Liouville fractional derivative for \(0 < \alpha < 1\)

Cites Work

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• A Space-Time Spectral Method for the Time Fractional Diffusion Equation
• Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
• Local Discontinuous Galerkin methods for fractional diffusion equations
• Fractional Spectral Collocation Method
• Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves

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