Development of a 2D-multigroup code (NFDE-2D) based on the neutron spatial-fractional diffusion equation

DOI10.1016/j.apm.2014.12.036zbMath1443.65133OpenAlexW2057959001MaRDI QIDQ2009927

Gilberto Espinosa-Paredes, Nader Maleki Moghaddam, Hossein Afarideh

Publication date: 3 December 2019

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.12.036

zbMATH Keywords

fractional calculusMCNPeffective multiplication factorfractional diffusion coefficientneutron fractional diffusion equationnon-local gradient

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Nuclear reactor theory; neutron transport (82D75) Fractional partial differential equations (35R11)

Cites Work

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• On the numerical solution of space-time fractional diffusion models
• Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation
• Fractional-order systems and controls. Fundamentals and applications
• Anomalous diffusion in one dimension
• Fractional-order modeling of neutron transport in a nuclear reactor
• Finite difference approximations for fractional advection-dispersion flow equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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