Finite element method for fractional parabolic integro-differential equations with smooth and nonsmooth initial data

DOI10.1007/s10915-021-01412-3zbMath1466.65140OpenAlexW3130106729WikidataQ115382673 ScholiaQ115382673MaRDI QIDQ1996000

Shantiram Mahata, Rajen Kumar Sinha

Publication date: 2 March 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01412-3

zbMATH Keywords

error estimatesfinite element methodsemidiscreteconvolution quadraturefully discretesmooth and nonsmooth initial datafractional parabolic integro-differential equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items

Nonsmooth data optimal error estimates by energy arguments for subdiffusion equations with memory ⋮ A linearized L1-Galerkin FEM for non-smooth solutions of Kirchhoff type quasilinear time-fractional integro-differential equation

Uses Software

• FreeFem++

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