Randolph Rach

Publication Activity (10 Years)

Years Active: 2008-2017
Publications (10 Years): 2

Top Topics

Decomposition Method

Laplacian Eigenmaps

Boundary Value Problem

Top Venues

Appl. Math. Comput.

Comput. Math. Appl.

Int. J. Comput. Math.

Publications

Jun-Sheng Duan, Randolph 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) (2017)
Abdul-Majid Wazwaz, Randolph Rach
Two reliable methods for solving the Volterra integral equation with a weakly singular kernel. J. Comput. Appl. Math. 302 (2016)
Lazhar Bougoffa, Randolph 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) (2013)
Lazhar Bougoffa, Abdelaziz Mennouni, Randolph Rach
Solving Cauchy integral equations of the first kind by the Adomian decomposition method. Appl. Math. Comput. 219 (9) (2013)
Jun-Sheng Duan, Temuer Chaolu, Randolph Rach, Lu Lei
The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations. Comput. Math. Appl. 66 (5) (2013)
Abdul-Majid Wazwaz, Randolph 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) (2013)
Lazhar Bougoffa, Randolph Rach, Abdul-Majid Wazwaz
Solving nonlocal initial-boundary value problems for the Lotka-von Foerster model. Appl. Math. Comput. 225 (2013)
Randolph Rach, Abdul-Majid Wazwaz, Jun-Sheng Duan
A reliable modification of the Adomian decomposition method for higher-order nonlinear differential equations. Kybernetes 42 (2) (2013)
Lazhar Bougoffa, Randolph 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 (2013)
Lazhar Bougoffa, Randolph Rach
Solving nonlocal boundary value problems for first- and second-order differential equations by the Adomian decomposition method. Kybernetes 42 (4) (2013)
Jun-Sheng Duan, Randolph Rach
Higher-order numeric Wazwaz-El-Sayed modified Adomian decomposition algorithms. Comput. Math. Appl. 63 (11) (2012)
Lazhar Bougoffa, Manal Al-Haqbani, Randolph Rach
A convenient technique for solving integral equations of the first kind by the Adomian decomposition method. Kybernetes 41 (1) (2012)
Jun-Sheng Duan, Temuer Chaolu, Randolph 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) (2012)
Emad H. Aly, Abdelhalim Ebaid, Randolph Rach
Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions. Comput. Math. Appl. 63 (6) (2012)
Abdul-Majid Wazwaz, Randolph 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) (2011)
Lazhar Bougoffa, Randolph Rach, Abdelaziz Mennouni
An approximate method for solving a class of weakly-singular Volterra integro-differential equations. Appl. Math. Comput. 217 (22) (2011)
Randolph Rach, Jun-Sheng Duan
Near-field and far-field approximations by the Adomian and asymptotic decomposition methods. Appl. Math. Comput. 217 (12) (2011)
Jun-Sheng Duan, Randolph 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) (2011)
Lazhar Bougoffa, Randolph Rach, Abdelaziz Mennouni
A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method. Appl. Math. Comput. 218 (5) (2011)
Jun-Sheng Duan, Randolph Rach
New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods. Appl. Math. Comput. 218 (6) (2011)
Randolph Rach
A new definition of the Adomian polynomials. Kybernetes 37 (7) (2008)