Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons

DOI10.1016/j.apnum.2020.07.007zbMath1446.65117OpenAlexW3041284959MaRDI QIDQ2192652

R. S. Gedam, K. Obaidurrahman, Pradip Roul, V. M. K. Prasad Goura, Gilberto Espinosa-Paredes, Vikas Rohil

Publication date: 17 August 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.07.007

zbMATH Keywords

convergence analysisstability analysisCaputo derivativedelayed neutronsfractional neutron diffusion equation

Mathematics Subject Classification ID

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) Finite difference methods for boundary value problems involving PDEs (65N06) Nuclear reactor theory; neutron transport (82D75) Second-order parabolic equations (35K10) Fractional partial differential equations (35R11) PDEs in connection with statistical mechanics (35Q82) PDEs on time scales (35R07)

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