A new definition of the Adomian polynomials. - Randolph C. Rach (Kybernetes, 2008)

An approximate method for solving a class of weakly-singular Volterra integro-differential equations. - Lazhar Bougoffa; Randolph C. Rach; Abdelaziz Mennouni (Appl. Math. Comput., 2011)

A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method. - Lazhar Bougoffa; Randolph C. Rach; Abdelaziz Mennouni (Appl. Math. Comput., 2011)

New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods. - Jun-Sheng Duan; Randolph C. Rach (Appl. Math. Comput., 2011)

A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations. - Jun-Sheng Duan; Randolph C. Rach (Appl. Math. Comput., 2011)

Near-field and far-field approximations by the Adomian and asymptotic decomposition methods. - Randolph C. Rach; Jun-Sheng Duan (Appl. Math. Comput., 2011)

Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane-Emden equations of the first and second kinds. - Abdul-Majid Wazwaz; Randolph C. Rach (Kybernetes, 2011)

Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach-Adomian-Meyers modified decomposition method. - Jun-Sheng Duan; Temuer Chaolu; Randolph C. Rach (Appl. Math. Comput., 2012)

Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions. - Emad H. Aly; Abdelhalim Ebaid; Randolph C. Rach (Comput. Math. Appl., 2012)

Higher-order numeric Wazwaz-El-Sayed modified Adomian decomposition algorithms. - Jun-Sheng Duan; Randolph C. Rach (Comput. Math. Appl., 2012)

A convenient technique for solving integral equations of the first kind by the Adomian decomposition method. - Lazhar Bougoffa; Manal Al-Haqbani; Randolph C. Rach (Kybernetes, 2012)

Solving Cauchy integral equations of the first kind by the Adomian decomposition method. - Lazhar Bougoffa; Abdelaziz Mennouni; Randolph C. Rach (Appl. Math. Comput., 2013)

Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method. - Lazhar Bougoffa; Randolph C. Rach (Appl. Math. Comput., 2013)

Solving nonlocal initial-boundary value problems for the Lotka-von Foerster model. - Lazhar Bougoffa; Randolph C. Rach; Abdul-Majid Wazwaz (Appl. Math. Comput., 2013)

Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions. - Abdul-Majid Wazwaz; Randolph C. Rach; Jun-Sheng Duan (Appl. Math. Comput., 2013)

The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations. - Jun-Sheng Duan; Temuer Chaolu; Randolph C. Rach; Lu Lei (Comput. Math. Appl., 2013)

A convergence analysis of the Adomian decomposition method for an abstract Cauchy problem of a system of first-order nonlinear differential equations. - Lazhar Bougoffa; Randolph C. Rach; Said El Manouni (Int. J. Comput. Math., 2013)

Solving nonlocal boundary value problems for first- and second-order differential equations by the Adomian decomposition method. - Lazhar Bougoffa; Randolph C. Rach (Kybernetes, 2013)

A reliable modification of the Adomian decomposition method for higher-order nonlinear differential equations. - Randolph C. Rach; Abdul-Majid Wazwaz; Jun-Sheng Duan (Kybernetes, 2013)

Two reliable methods for solving the Volterra integral equation with a weakly singular kernel. - Abdul-Majid Wazwaz; Randolph C. Rach (J. Comput. Appl. Math., 2016)

Higher order numeric solutions of the Lane-Emden-type equations derived from the multi-stage modified Adomian decomposition method. - Jun-Sheng Duan; Randolph C. Rach; Abdul-Majid Wazwaz (Int. J. Comput. Math., 2017)

An adaptation of the modified decomposition method in solving nonlinear initial-boundary value problems for ODEs. - Lazhar Bougoffa; Randolph C. Rach (J. Appl. Math. Comput., 2022)