Optimal error estimate of the Legendre spectral approximation for space-fractional reaction-advection-diffusion equation
DOI10.1186/s13662-018-1572-4zbMath1446.65091OpenAlexW2801411804MaRDI QIDQ1712121
Shujuan Lü, Wenping Chen, Hu Chen, Haiyu Liu
Publication date: 21 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1572-4
stabilityCrank-Nicolson schemeoptimal error estimateLegendre spectral methodspace-fractional reaction-advection-diffusion equation
Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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