Randolph C. Rach

22 papers Journal 22
YearRankTypeTitle / Venue / Authors
2022 J jnl
An adaptation of the modified decomposition method in solving nonlinear initial-boundary value problems for ODEs.
J. Appl. Math. Comput.
Lazhar Bougoffa, Randolph C. Rach
2017 J jnl
Higher order numeric solutions of the Lane-Emden-type equations derived from the multi-stage modified Adomian decomposition method.
Int. J. Comput. Math.
Jun-Sheng Duan, Randolph C. Rach, Abdul-Majid Wazwaz
2016 J jnl
Two reliable methods for solving the Volterra integral equation with a weakly singular kernel.
J. Comput. Appl. Math.
Abdul-Majid Wazwaz, Randolph C. Rach
2013 J jnl
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.
Lazhar Bougoffa, Randolph C. Rach, Said El Manouni
2013 J jnl
A reliable modification of the Adomian decomposition method for higher-order nonlinear differential equations.
Kybernetes
Randolph C. Rach, Abdul-Majid Wazwaz, Jun-Sheng Duan
2013 J jnl
Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions.
Appl. Math. Comput.
Abdul-Majid Wazwaz, Randolph C. Rach, Jun-Sheng Duan
2013 J jnl
Solving Cauchy integral equations of the first kind by the Adomian decomposition method.
Appl. Math. Comput.
Lazhar Bougoffa, Abdelaziz Mennouni, Randolph C. Rach
2013 J jnl
Solving nonlocal boundary value problems for first- and second-order differential equations by the Adomian decomposition method.
Kybernetes
Lazhar Bougoffa, Randolph C. Rach
2013 J jnl
Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method.
Appl. Math. Comput.
Lazhar Bougoffa, Randolph C. Rach
2013 J jnl
Solving nonlocal initial-boundary value problems for the Lotka-von Foerster model.
Appl. Math. Comput.
Lazhar Bougoffa, Randolph C. Rach, Abdul-Majid Wazwaz
2013 J jnl
The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations.
Comput. Math. Appl.
Jun-Sheng Duan, Temuer Chaolu, Randolph C. Rach, Lu Lei
2012 J jnl
A convenient technique for solving integral equations of the first kind by the Adomian decomposition method.
Kybernetes
Lazhar Bougoffa, Manal Al-Haqbani, Randolph C. Rach
2012 J jnl
Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions.
Comput. Math. Appl.
Emad H. Aly, Abdelhalim Ebaid, Randolph C. Rach
2012 J jnl
Higher-order numeric Wazwaz-El-Sayed modified Adomian decomposition algorithms.
Comput. Math. Appl.
Jun-Sheng Duan, Randolph C. Rach
2012 J jnl
Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach-Adomian-Meyers modified decomposition method.
Appl. Math. Comput.
Jun-Sheng Duan, Temuer Chaolu, Randolph C. Rach
2011 J jnl
A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method.
Appl. Math. Comput.
Lazhar Bougoffa, Randolph C. Rach, Abdelaziz Mennouni
2011 J jnl
A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations.
Appl. Math. Comput.
Jun-Sheng Duan, Randolph C. Rach
2011 J jnl
An approximate method for solving a class of weakly-singular Volterra integro-differential equations.
Appl. Math. Comput.
Lazhar Bougoffa, Randolph C. Rach, Abdelaziz Mennouni
2011 J jnl
Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane-Emden equations of the first and second kinds.
Kybernetes
Abdul-Majid Wazwaz, Randolph C. Rach
2011 J jnl
Near-field and far-field approximations by the Adomian and asymptotic decomposition methods.
Appl. Math. Comput.
Randolph C. Rach, Jun-Sheng Duan
2011 J jnl
New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods.
Appl. Math. Comput.
Jun-Sheng Duan, Randolph C. Rach
2008 J jnl
A new definition of the Adomian polynomials.
Kybernetes
Randolph C. Rach