Optimal error estimate of the Legendre spectral approximation for space-fractional reaction–advection–diffusion equation

Optimal error estimate of the Legendre spectral approximation for space-fractional reaction–advection–diffusion equation

Abstract In this paper, we consider the space-fractional reaction–advection–diffusion equation with fractional diffusion and integer advection terms. By treating the first-order integer derivative as the composition of two Riemann–Liouville fractional derivative operators, we construct a fully discr...

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Bibliographic Details
Main Authors: Wenping Chen, Shujuan Lü, Hu Chen, Haiyu Liu
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Advances in Difference Equations
Subjects:
Space-fractional reaction–advection–diffusion equation
Legendre spectral method
Crank-Nicolson scheme
Stability
Optimal error estimate
Online Access:http://link.springer.com/article/10.1186/s13662-018-1572-4

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http://link.springer.com/article/10.1186/s13662-018-1572-4

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