Numerical method for fractional advection-diffusion equation with heredity

DOI10.1007/s10958-018-3780-6zbMath1395.65053OpenAlexW2790587009WikidataQ130112079 ScholiaQ130112079MaRDI QIDQ1645249

Vladimir G. Pimenov

Publication date: 28 June 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3780-6

zbMATH Keywords

interpolationextrapolationorder of convergencemesh schemefunctional delayequation with fractional derivatives

Mathematics Subject Classification ID

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) Numerical interpolation (65D05) Fractional partial differential equations (35R11)

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• A second-order accurate numerical approximation for the fractional diffusion equation