Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation
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Publication:841156
DOI10.1007/s11075-008-9258-8zbMath1177.65194OpenAlexW2028586620MaRDI QIDQ841156
Kassem Mustapha, William McLean
Publication date: 14 September 2009
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-008-9258-8
numerical exampleGalerkin methodinitial-boundary value problemRiemann-Liouville operatorfractional operatorsub-diffusion equationspatial discretization errortime discretization errorsub-optimal convergencevariable step sizes
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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