A review of the Adomian decomposition method and its applications to fractional differential equations JS Duan, R Rach, D Baleanu, AM Wazwaz Communications in Fractional Calculus 3 (2), 73-99, 2012 | 368 | 2012 |
A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations JS Duan, R Rach Applied Mathematics and Computation 218 (8), 4090-4118, 2011 | 271 | 2011 |
Convenient analytic recurrence algorithms for the Adomian polynomials JS Duan Applied Mathematics and Computation 217 (13), 6337-6348, 2011 | 224 | 2011 |
Recurrence triangle for Adomian polynomials JS Duan Applied Mathematics and Computation 216 (4), 1235-1241, 2010 | 184 | 2010 |
An efficient algorithm for the multivariable Adomian polynomials JS Duan Applied Mathematics and Computation 217 (6), 2456-2467, 2010 | 155 | 2010 |
Adomian decomposition method for solving the Volterra integral form of the Lane–Emden equations with initial values and boundary conditions AM Wazwaz, R Rach, JS Duan Applied Mathematics and Computation 219 (10), 5004-5019, 2013 | 140 | 2013 |
Solving coupled Lane–Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method R Rach, JS Duan, AM Wazwaz Journal of Mathematical Chemistry 52, 255-267, 2014 | 136 | 2014 |
Time-and space-fractional partial differential equations JS Duan Journal of mathematical physics 46 (1), 2005 | 113 | 2005 |
A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions JS Duan, R Rach, AM Wazwaz, T Chaolu, Z Wang Applied Mathematical Modelling 37 (20-21), 8687-8708, 2013 | 109 | 2013 |
The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations JS Duan, T Chaolu, R Rach, L Lu Computers & Mathematics with Applications 66 (5), 728-736, 2013 | 93 | 2013 |
A study on the systems of the Volterra integral forms of the Lane–Emden equations by the Adomian decomposition method AM Wazwaz, R Rach, JS Duan Mathematical Methods in the Applied Sciences 37 (1), 10-19, 2014 | 86 | 2014 |
Solution of the model of beam-type micro-and nano-scale electrostatic actuators by a new modified Adomian decomposition method for nonlinear boundary value problems JS Duan, R Rach, AM Wazwaz International Journal of Non-Linear Mechanics 49, 159-169, 2013 | 84 | 2013 |
Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach–Adomian–Meyers modified decomposition method JS Duan, T Chaolu, R Rach Applied Mathematics and Computation 218 (17), 8370-8392, 2012 | 82 | 2012 |
Eigenvalue problems for fractional ordinary differential equations JS Duan, Z Wang, YL Liu, X Qiu Chaos, Solitons & Fractals 46, 46-53, 2013 | 71 | 2013 |
The transitive closure, convergence of powers and adjoint of generalized fuzzy matrices JS Duan Fuzzy Sets and Systems 145 (2), 301-311, 2004 | 68 | 2004 |
Solution of system of fractional differential equations by Adomian decomposition method J Duan, J An, M Xu Applied Mathematics-A Journal of Chinese Universities 22 (1), 7-12, 2007 | 62 | 2007 |
New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods JS Duan, R Rach Applied Mathematics and Computation 218 (6), 2810-2828, 2011 | 57 | 2011 |
New recurrence algorithms for the nonclassic Adomian polynomials JS Duan Computers & Mathematics with Applications 62 (8), 2961-2977, 2011 | 51 | 2011 |
Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by the Adomian decomposition method JS Duan, R Rach, AM Wazwaz Journal of Mathematical Chemistry 53 (4), 1054-1067, 2015 | 47 | 2015 |
Near-field and far-field approximations by the Adomian and asymptotic decomposition methods R Rach, JS Duan Applied Mathematics and Computation 217 (12), 5910-5922, 2011 | 43 | 2011 |