The stability and convergence analysis of finite difference methods for the fractional neutron diffusion equation
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10444-023-10070-y.pdf
Reference35 articles.
1. Roul, P., Rohil, V., Espinosa-Paredes, G., Prasad Goura, V.M.K., Gedam, R.S., Obaidurrahman, K.: Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons. Appl. Numer. Math. 157, 634–653 (2020)
2. Lawrence, R.D.: Progress in nodal methods for the solution of the neutron diffusion and transport equations. Prog. Nucl. Energy 17(3), 271–301 (1986)
3. Shen, S., Liu, F., Anh, V., Turner, I.: Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. J. Appl. Math. Comput. 22(3), 1–19 (2006)
4. Zhuang, P., Liu, F.: Finite difference approximation for two-dimensional time fractional diffusion equation. J. Algorithms Comput. Technol. 1(1), 1–16 (2007)
5. Chen, W., Ye, L., Sun, H.: Fractional diffusion equations by the Kansa method. Comput. Math. with Appl. 59(5), 1614–1620 (2010)
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