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2020 – today
- 2022
[j22]Lazhar Bougoffa
, Randolph C. Rach:
An adaptation of the modified decomposition method in solving nonlinear initial-boundary value problems for ODEs. J. Appl. Math. Comput. 68(4): 2787-2802 (2022)
2010 – 2019
- 2017
- [j21]Jun-Sheng Duan, Randolph C. Rach, Abdul-Majid Wazwaz:
Higher order numeric solutions of the Lane-Emden-type equations derived from the multi-stage modified Adomian decomposition method. Int. J. Comput. Math. 94(1): 197-215 (2017) - 2016
- [j20]Abdul-Majid Wazwaz, Randolph C. Rach:
Two reliable methods for solving the Volterra integral equation with a weakly singular kernel. J. Comput. Appl. Math. 302: 71-80 (2016) - 2013
- [j19]Lazhar Bougoffa, Abdelaziz Mennouni, Randolph C. Rach:
Solving Cauchy integral equations of the first kind by the Adomian decomposition method. Appl. Math. Comput. 219(9): 4423-4433 (2013) - [j18]Abdul-Majid Wazwaz, Randolph C. Rach, Jun-Sheng Duan:
Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions. Appl. Math. Comput. 219(10): 5004-5019 (2013) - [j17]Lazhar Bougoffa, Randolph C. Rach, Abdul-Majid Wazwaz:
Solving nonlocal initial-boundary value problems for the Lotka-von Foerster model. Appl. Math. Comput. 225: 7-15 (2013) - [j16]Lazhar Bougoffa, Randolph C. Rach:
Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method. Appl. Math. Comput. 225: 50-61 (2013) - [j15]Jun-Sheng Duan, Temuer Chaolu, Randolph C. Rach, Lu Lei:
The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations. Comput. Math. Appl. 66(5): 728-736 (2013) - [j14]Lazhar Bougoffa, Randolph C. Rach, Said El Manouni:
A convergence analysis of the Adomian decomposition method for an abstract Cauchy problem of a system of first-order nonlinear differential equations. Int. J. Comput. Math. 90(2): 360-375 (2013) - [j13]Randolph C. Rach, Abdul-Majid Wazwaz, Jun-Sheng Duan:
A reliable modification of the Adomian decomposition method for higher-order nonlinear differential equations. Kybernetes 42(2): 282-308 (2013) - [j12]Lazhar Bougoffa, Randolph C. Rach:
Solving nonlocal boundary value problems for first- and second-order differential equations by the Adomian decomposition method. Kybernetes 42(4): 641-664 (2013) - 2012
- [j11]Jun-Sheng Duan, Temuer Chaolu, Randolph C. Rach:
Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach-Adomian-Meyers modified decomposition method. Appl. Math. Comput. 218(17): 8370-8392 (2012) - [j10]Emad H. Aly, Abdelhalim Ebaid, Randolph C. Rach:
Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions. Comput. Math. Appl. 63(6): 1056-1065 (2012) - [j9]Jun-Sheng Duan, Randolph C. Rach:
Higher-order numeric Wazwaz-El-Sayed modified Adomian decomposition algorithms. Comput. Math. Appl. 63(11): 1557-1568 (2012) - [j8]Lazhar Bougoffa, Manal Al-Haqbani, Randolph C. Rach:
A convenient technique for solving integral equations of the first kind by the Adomian decomposition method. Kybernetes 41(1): 145-156 (2012) - 2011
- [j7]Randolph C. Rach, Jun-Sheng Duan:
Near-field and far-field approximations by the Adomian and asymptotic decomposition methods. Appl. Math. Comput. 217(12): 5910-5922 (2011) - [j6]Lazhar Bougoffa, Randolph C. Rach, Abdelaziz Mennouni:
An approximate method for solving a class of weakly-singular Volterra integro-differential equations. Appl. Math. Comput. 217(22): 8907-8913 (2011) - [j5]Lazhar Bougoffa, Randolph C. Rach, Abdelaziz Mennouni:
A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method. Appl. Math. Comput. 218(5): 1785-1793 (2011) - [j4]Jun-Sheng Duan, Randolph C. Rach:
New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods. Appl. Math. Comput. 218(6): 2810-2828 (2011) - [j3]Jun-Sheng Duan, Randolph C. Rach:
A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations. Appl. Math. Comput. 218(8): 4090-4118 (2011) - [j2]Abdul-Majid Wazwaz, Randolph C. Rach:
Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane-Emden equations of the first and second kinds. Kybernetes 40(9/10): 1305-1318 (2011)
2000 – 2009
- 2008
- [j1]Randolph C. Rach:
A new definition of the Adomian polynomials. Kybernetes 37(7): 910-955 (2008)
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