Finite difference scheme on graded meshes to the time-fractional neutron diffusion equation with non-smooth solutions

DOI10.1016/J.AMC.2022.127474OpenAlexW4291305192WikidataQ113880692 ScholiaQ113880692MaRDI QIDQ2673937

Daopeng Yin, Liquan Mei, Yingying Xie

Publication date: 21 September 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127474

zbMATH Keywords

graded meshesweak singularitydelayed neutronsfractional neutron diffusion equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Miscellaneous topics in partial differential equations (35Rxx)

Related Items (1)

The stability and convergence analysis of finite difference methods for the fractional neutron diffusion equation

Cites Work

• Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid
• Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons
• Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem
• On the stability of fractional neutron point kinetics (FNPK)
• Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
• Least-Squares Finite Element Discretization of the Neutron Transport Equation in Spherical Geometry
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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