Power series solution (PWS) of nuclear reactor dynamics with Newtonian temperature feedback AE Aboanber, YM Hamada Annals of Nuclear Energy 30 (10), 1111-1122, 2003 | 74 | 2003 |
Solution of the point kinetics equations in the presence of Newtonian temperature feedback by Padé approximations via the analytical inversion method AE Aboanber, AA Nahla Journal of Physics A: Mathematical and General 35 (45), 9609, 2002 | 73 | 2002 |
Generalization of the analytical inversion method for the solution of the point kinetics equations AE Aboanber, AA Nahla Journal of Physics A: Mathematical and General 35 (14), 3245, 2002 | 67 | 2002 |
PWS: an efficient code system for solving space-independent nuclear reactor dynamics AE Aboanber, YM Hamada Annals of Nuclear Energy 29 (18), 2159-2172, 2002 | 60 | 2002 |
Generalized Runge–Kutta method for two-and three-dimensional space–time diffusion equations with a variable time step AE Aboanber, YM Hamada Annals of Nuclear Energy 35 (6), 1024-1040, 2008 | 52 | 2008 |
On pade′ approximations to the exponential function and application to the point kinetics equations AE Aboanber, AA Nahla Progress in Nuclear Energy 44 (4), 347-368, 2004 | 52 | 2004 |
Adaptive matrix formation (AMF) method of space–time multigroup reactor kinetics equations in multidimensional model AE Aboanber, AA Nahla Annals of Nuclear Energy 34 (1-2), 103-119, 2007 | 41 | 2007 |
Analytical solution of the point kinetics equations by exponential mode analysis AE Aboanber Progress in Nuclear Energy 42 (2), 179-197, 2003 | 37 | 2003 |
Solution of two-dimensional space–time multigroup reactor kinetics equations by generalized Padé and cut-product approximations AE Aboanber, AA Nahla Annals of Nuclear Energy 33 (3), 209-222, 2006 | 31 | 2006 |
Formulation of a point reactor kinetics model based on the neutron telegraph equation MR Altahhan, MS Nagy, HH Abou-Gabal, AE Aboanber Annals of Nuclear Energy 91, 176-188, 2016 | 30 | 2016 |
Computation accuracy and efficiency of a power series analytic method for two-and three-space-dependent transient problems AE Aboanber, YM Hamada Progress in Nuclear Energy 51 (3), 451-464, 2009 | 28 | 2009 |
Stability of generalized Runge–Kutta methods for stiff kinetics coupled differential equations AE Aboanber Journal of Physics A: Mathematical and General 39 (8), 1859, 2006 | 28 | 2006 |
Solution of two-point kinetics equations for reflected reactors using Analytical Inversion Method (AIM) AE Aboanber, AM El Mhlawy Progress in Nuclear Energy 51 (1), 155-162, 2009 | 22 | 2009 |
Exact solution for the non-linear two point kinetic model of reflected reactors AE Aboanber Progress in Nuclear Energy 51 (6-7), 719-726, 2009 | 19 | 2009 |
A novel fractional technique for the modified point kinetics equations AE Aboanber, AA Nahla Journal of the Egyptian Mathematical Society 24 (4), 666-671, 2016 | 18 | 2016 |
A novel mathematical model for two-energy groups of the point kinetics reactor dynamics AE Aboanber, AA Nahla, ZI Al-Muhiameed Progress in Nuclear Energy 77, 160-166, 2014 | 16 | 2014 |
Comment on the paper: Espinosa-Parrdes, et al., 2011. Fractional neutron point kinetics equations for nuclear reactor dynamics. Ann. Nucl. Energ. 38, 307-330 AE Aboanber, AA Nahla Annals of Nuclear Energy 88, 301-302, 2016 | 15 | 2016 |
An efficient analytical form for the period-reactivity relation of beryllium and heavy-water moderated reactors AE Aboanber Nuclear engineering and design 224 (3), 279-292, 2003 | 14 | 2003 |
Fractional two energy groups matrix representation for nuclear reactor dynamics with an external source AE Aboanber, AA Nahla, SM Aljawazneh Annals of Nuclear Energy 153, 108062, 2021 | 13 | 2021 |
A new version of the reflected core inhour equation and its solution AE Aboanber, AM El Mhlawy Nuclear engineering and design 238 (7), 1670-1680, 2008 | 13 | 2008 |