×
Compute Distance To:
Author ID: rach.randolph-c Recent zbMATH articles by "Rach, Randolph C."
Published as: Rach, R.; Rach, Randolph; Rach, Randolph C.; Rach, R. C.
Documents Indexed: 103 Publications since 1983
Co-Authors: 30 Co-Authors with 96 Joint Publications
429 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 1,483 times in 746 Documents Cited by Year
Inversion of nonlinear stochastic operators. Zbl 0504.60066
Adomian, G.; Rach, R.
147
1983
Nonlinear stochastic differential delay equations. Zbl 0504.60067
Adomian, G.; Rach, R.
93
1983
Noise terms in decomposition solution series. Zbl 0777.35018
Adomian, G.; Rach, R.
80
1992
A convenient computational form for the Adomian polynomials. Zbl 0552.60061
Rach, Randolph
79
1984
Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition. Zbl 0796.35017
Adomian, G.; Rach, R.
63
1993
On the solution of algebraic equations by the decomposition method. Zbl 0552.60060
Adomian, G.; Rach, R.
55
1985
A new definition of the Adomian polynomials. Zbl 1176.33023
Rach, Randolph C.
51
2008
Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations. Zbl 0702.35058
Adomian, G.; Rach, R.
50
1990
A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations. Zbl 06045809
Duan, Jun-Sheng; Rach, Randolph
48
2011
Modified decomposition solution of linear and nonlinear boundary-value problems. Zbl 0810.34015
Adomian, G.; Rach, R.
43
1994
Solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method. Zbl 1311.92222
Rach, Randolph; Duan, Jun-Sheng; Wazwaz, Abdul-Majid
38
2014
Modified Adomian polynomials. Zbl 0874.65051
Adomian, G.; Rach, R.
34
1996
Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions. Zbl 1282.65082
Wazwaz, Abdul-Majid; Rach, Randolph; Duan, Jun-Sheng
34
2013
On the Adomian (decomposition) method and comparisons with Picard’s method. Zbl 0645.60067
Rach, R.
33
1987
A modified decomposition. Zbl 0756.35013
Rach, R.; Adomian, G.; Meyers, R. E.
31
1992
Transformation of series. Zbl 0742.40004
Adomian, G.; Rach, R.
28
1991
An efficient methodology for the physical sciences. Zbl 0744.65039
Adomian, G.; Rach, R. C.; Meyers, R. E.
28
1991
A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions. Zbl 1426.65122
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid; Chaolu, Temuer; Wang, Zhong
23
2013
Polynomial nonlinearities in differential equations. Zbl 0606.34009
Adomian, G.; Rach, R.
19
1985
Generalization of Adomian polynomials to functions of several variables. Zbl 0765.34005
Adomian, G.; Rach, R.
19
1992
A new algorithm for matching boundary conditions in decomposition solutions. Zbl 0780.65045
Adomian, G.; Rach, R.
16
1993
Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by the Adomian decomposition method. Zbl 1323.34024
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid
16
2015
On composite nonlinearities and the decomposition method. Zbl 0617.65046
Adomian, G.; Rach, R.
15
1986
Nonlinear transformation of series. II. Zbl 0768.40001
Adomian, G.; Rach, R.
15
1992
The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations. Zbl 1348.34010
Duan, Jun-Sheng; Chaolu, Temuer; Rach, Randolph; Lu, Lei
15
2013
A study on the systems of the Volterra integral forms of the Lane-Emden equations by the Adomian decomposition method. Zbl 1302.34024
Wazwaz, Abdul-Majid; Rach, Randolph; Duan, Jun-Sheng
15
2014
The noisy convergence phenomena in decomposition method solutions. Zbl 0616.65084
Adomian, G.; Rach, R.
14
1986
Numerical integration, analytic continuation, and decomposition. Zbl 0905.65079
Adomian, G.; Rach, R. C.; Meyers, R. E.
14
1997
New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods. Zbl 1478.65071
Duan, Jun-Sheng; Rach, Randolph
14
2011
Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method. Zbl 1245.65087
Duan, Jun-Sheng; Chaolu, Temuer; Rach, Randolph
13
2012
Algebraic computation and the decomposition method. Zbl 0604.60064
Adomian, G.; Rach, R.
13
1986
Near-field and far-field approximations by the Adomian and asymptotic decomposition methods. Zbl 1209.65071
Rach, Randolph; Duan, Jun-Sheng
13
2011
A new approach to boundary value equations and application to a generalization of Airy’s equation. Zbl 0678.65057
Adomian, G.; Elrod, M.; Rach, R.
13
1989
Numerical algorithms and decomposition. Zbl 0728.65068
Adomian, G.; Rach, R.; Meyers, Ronald E.
12
1991
A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method. Zbl 1252.65207
Bougoffa, Lazhar; Rach, Randolph C.; Mennouni, Abdelaziz
12
2011
Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method. Zbl 1334.65177
Bougoffa, Lazhar; Rach, Randolph C.
11
2013
Differential equations with singular coefficients. Zbl 0748.65066
Rach, R.; Baghdasarian, A.; Adomian, G.
11
1992
A further consideration of partial solutions in the decomposition method. Zbl 0756.35012
Adomian, G.; Rach, R.
11
1992
On the solution of partial differential equations with specified boundary conditions. Zbl 0678.65084
Adomian, G.; Rach, R.; Elrod, M.
11
1989
On linear and nonlinear integro-differential equations. Zbl 0601.45009
Adomian, G.; Rach, R.
10
1986
Modified decomposition solution of nonlinear partial differential equations. Zbl 0794.35023
Adomian, G.; Rach, R.
10
1992
On the solution of equations containing radicals by the decomposition method. Zbl 0579.60060
Adomian, G.; Rach, R.; Sarafyan, D.
10
1985
An approximate method for solving a class of weakly-singular Volterra integro-differential equations. Zbl 1219.65159
Bougoffa, Lazhar; Rach, Randolph C.; Mennouni, Abdelaziz
10
2011
Application of the decomposition method to inversion of matrices. Zbl 0598.65011
Adomian, G.; Rach, R.
9
1985
Coupled differential equations and coupled boundary conditions. Zbl 0579.60057
Adomian, G.; Rach, R.
9
1985
Chaos control in the cerium-catalyzed Belousov-Zhabotinsky reaction using recurrence quantification analysis measures. Zbl 1352.93053
Fatoorehchi, Hooman; Zarghami, Reza; Abolghasemi, Hossein; Rach, Randolph
9
2015
Solving Cauchy integral equations of the first kind by the Adomian decomposition method. Zbl 1416.65529
Bougoffa, Lazhar; Mennouni, Abdelaziz; Rach, Randolph C.
9
2013
A nonlinear differential delay equation. Zbl 0504.60068
Adomian, G.; Rach, R.
9
1983
Inhomogeneous nonlinear partial differential equations with variable coefficients. Zbl 0758.35023
Adomian, G.; Rach, R.
8
1992
Algebraic equations with exponential terms. Zbl 0579.60058
Adomian, G.; Rach, R.
7
1985
Nonlinear differential equations with negative power nonlinearities. Zbl 0579.60059
Adomian, G.; Rach, R.
7
1985
Solving nonlinear differential equations with decimal power nonlinearities. Zbl 0591.60052
Adomian, G.; Rach, R.
7
1986
Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions. Zbl 1247.65097
Aly, Emad H.; Ebaid, Abdelhalim; Rach, Randolph
7
2012
Multiple decompositions for computational convenience. Zbl 0707.34008
Rach, R.; Adomian, G.
6
1990
Higher order numeric solutions of the Lane-Emden-type equations derived from the multi-stage modified Adomian decomposition method. Zbl 1366.65069
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid
6
2017
Coupled nonlinear stochastic differential equations. Zbl 0517.60064
Adomian, G.; Sibul, L. H.; Rach, R.
6
1983
Solution of nonlinear partial differential equations in one, two, three, and four dimensions. Zbl 0834.65058
Adomian, G.; Rach, R.
5
1993
A new computational approach for inversion of very large matrices. Zbl 0613.65023
Adomian, G.; Rach, R.
5
1986
The decomposition method applied to stiff systems. Zbl 0645.65040
Adomian, G.; Rach, R.; Elrod, M.
5
1988
On the solution of nonlinear differential equations with convolution product nonlinearities. Zbl 0588.34004
Adomian, G.; Rach, R.
5
1986
Higher-order numeric Wazwaz-El-Sayed modified Adomian decomposition algorithms. Zbl 1247.65109
Duan, Jun-Sheng; Rach, Randolph
5
2012
On the Adomian decomposition method for solving the Stefan problem. Zbl 1356.80034
Bougoffa, Lazhar; Rach, Randolph; Wazwaz, Abdul-Majid; Duan, Jun-Sheng
5
2015
A reliable analysis of oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. Zbl 1330.92037
Rach, Randolph; Wazwaz, Abdul-Majid; Duan, Jun-Sheng
5
2014
Solution of nonlinear ordinary and partial differential equations of physics. Zbl 0792.34006
Adomian, G.; Rach, R.
4
1991
Two reliable methods for solving the Volterra integral equation with a weakly singular kernel. Zbl 1416.65557
Wazwaz, Abdul-Majid; Rach, Randolph
4
2016
Solving nonlocal initial-boundary value problems for the Lotka-von Foerster model. Zbl 1334.65178
Bougoffa, Lazhar; Rach, Randolph C.; Wazwaz, Abdul-Majid
4
2013
Solving the Lane-Emden-Fowler type equations of higher orders by the Adomian decomposition method. Zbl 1356.65214
Wazwaz, Abdul-Majid; Rach, Randolph; Bougoffa, Lazhar; Duan, Jun-Sheng
4
2014
Smooth polynomial expansions of piecewise-differentiable functions. Zbl 0721.41043
Rach, R.; Adomian, G.
4
1989
On solutions of boundary value problem for fourth-order beam equations. Zbl 1488.34116
Bougoffa, Lazhar; Rach, Randolph; Wazwaz, Abdul-Majid
3
2016
Analytic parametrization and the decomposition method. Zbl 0754.60066
Adomian, G.; Rach, R.
3
1989
Nonlinear plasma response. Zbl 0575.60063
Adomian, G.; Rach, R.
3
1985
On the effective region of convergence of the decomposition series solution. Zbl 1280.65083
Duan, Jun-Sheng; Rach, Randolph; Wang, Zhong
3
2013
Anharmonic oscillator systems. Zbl 0517.70026
Adomian, G.; Rach, R.
3
1983
A coupled nonlinear system. Zbl 0616.65054
Adomian, G.; Rach, R.
2
1986
On continuous approximate solutions of nonlinear differential equations. Zbl 0633.34010
Rach, R.
2
1987
Modeling the influence of the Casimir force on the pull-in instability of nanowire-fabricated nanotweezers. Zbl 1308.81158
Farrokhabadi, Amin; Mokhtari, Javad; Rach, Randolph; Abadyan, Mohamadreza
2
2015
The Volterra integral form of the Lane-Emden equation: new derivations and solution by the Adomian decomposition method. Zbl 1322.34022
Rach, Randolph; Wazwaz, Abdul-Majid; Duan, Jun-Sheng
2
2015
A new modified Adomian decomposition method for higher-order nonlinear dynamical systems. Zbl 1356.65207
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid
2
2013
Purely nonlinear differential equations. Zbl 0698.34013
Adomian, G.; Rach, R.
2
1990
An improved approximate analytic solution for Riccati equations over extended intervals. Zbl 1310.34022
Vahidi, A. R.; Didgar, M.; Rach, R. C.
2
2014
An application of the decomposition method to the matrix Riccati equation in a neutron transport process. Zbl 0673.34007
Adomian, G.; Pandolfi, M.; Rach, R.
2
1988
A convergence analysis of the Adomian decomposition method for an abstract Cauchy problem of a system of first-order nonlinear differential equations. Zbl 1321.65108
Bougoffa, Lazhar; Rach, Randolph C.; El-Manouni, Said
2
2013
Variational iteration method for solving oxygen and carbon substrate concentrations in microbial floc particles. Zbl 1466.92118
Wazwaz, Abdul-Majid; Rach, Randolph; Duan, Jun-Sheng
1
2016
Oxygen and carbon substrate concentrations in microbial floc particles by the Adomian decomposition method. Zbl 1468.92030
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid
1
2015
Explicit solutions for differential equations. Zbl 0635.34003
Adomian, G.; Rach, R.
1
1987
Evaluation of integrals by decomposition. Zbl 0648.65063
Adomian, G.; Rach, R.
1
1988
On nonzero initial conditions in stochastic differential equations. Zbl 0552.60053
Adomian, G.; Rach, R.
1
1984
On approximate solution of a nonlinear differential equation. Zbl 0715.34021
Rach, R.; Baghdasarian, A.
1
1990
Higher order numeric solutions of the Lane-Emden-type equations derived from the multi-stage modified Adomian decomposition method. Zbl 1366.65069
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid
6
2017
Two reliable methods for solving the Volterra integral equation with a weakly singular kernel. Zbl 1416.65557
Wazwaz, Abdul-Majid; Rach, Randolph
4
2016
On solutions of boundary value problem for fourth-order beam equations. Zbl 1488.34116
Bougoffa, Lazhar; Rach, Randolph; Wazwaz, Abdul-Majid
3
2016
Variational iteration method for solving oxygen and carbon substrate concentrations in microbial floc particles. Zbl 1466.92118
Wazwaz, Abdul-Majid; Rach, Randolph; Duan, Jun-Sheng
1
2016
Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by the Adomian decomposition method. Zbl 1323.34024
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid
16
2015
Chaos control in the cerium-catalyzed Belousov-Zhabotinsky reaction using recurrence quantification analysis measures. Zbl 1352.93053
Fatoorehchi, Hooman; Zarghami, Reza; Abolghasemi, Hossein; Rach, Randolph
9
2015
On the Adomian decomposition method for solving the Stefan problem. Zbl 1356.80034
Bougoffa, Lazhar; Rach, Randolph; Wazwaz, Abdul-Majid; Duan, Jun-Sheng
5
2015
Modeling the influence of the Casimir force on the pull-in instability of nanowire-fabricated nanotweezers. Zbl 1308.81158
Farrokhabadi, Amin; Mokhtari, Javad; Rach, Randolph; Abadyan, Mohamadreza
2
2015
The Volterra integral form of the Lane-Emden equation: new derivations and solution by the Adomian decomposition method. Zbl 1322.34022
Rach, Randolph; Wazwaz, Abdul-Majid; Duan, Jun-Sheng
2
2015
Oxygen and carbon substrate concentrations in microbial floc particles by the Adomian decomposition method. Zbl 1468.92030
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid
1
2015
Solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method. Zbl 1311.92222
Rach, Randolph; Duan, Jun-Sheng; Wazwaz, Abdul-Majid
38
2014
A study on the systems of the Volterra integral forms of the Lane-Emden equations by the Adomian decomposition method. Zbl 1302.34024
Wazwaz, Abdul-Majid; Rach, Randolph; Duan, Jun-Sheng
15
2014
A reliable analysis of oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. Zbl 1330.92037
Rach, Randolph; Wazwaz, Abdul-Majid; Duan, Jun-Sheng
5
2014
Solving the Lane-Emden-Fowler type equations of higher orders by the Adomian decomposition method. Zbl 1356.65214
Wazwaz, Abdul-Majid; Rach, Randolph; Bougoffa, Lazhar; Duan, Jun-Sheng
4
2014
An improved approximate analytic solution for Riccati equations over extended intervals. Zbl 1310.34022
Vahidi, A. R.; Didgar, M.; Rach, R. C.
2
2014
Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions. Zbl 1282.65082
Wazwaz, Abdul-Majid; Rach, Randolph; Duan, Jun-Sheng
34
2013
A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions. Zbl 1426.65122
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid; Chaolu, Temuer; Wang, Zhong
23
2013
The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations. Zbl 1348.34010
Duan, Jun-Sheng; Chaolu, Temuer; Rach, Randolph; Lu, Lei
15
2013
Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method. Zbl 1334.65177
Bougoffa, Lazhar; Rach, Randolph C.
11
2013
Solving Cauchy integral equations of the first kind by the Adomian decomposition method. Zbl 1416.65529
Bougoffa, Lazhar; Mennouni, Abdelaziz; Rach, Randolph C.
9
2013
Solving nonlocal initial-boundary value problems for the Lotka-von Foerster model. Zbl 1334.65178
Bougoffa, Lazhar; Rach, Randolph C.; Wazwaz, Abdul-Majid
4
2013
On the effective region of convergence of the decomposition series solution. Zbl 1280.65083
Duan, Jun-Sheng; Rach, Randolph; Wang, Zhong
3
2013
A new modified Adomian decomposition method for higher-order nonlinear dynamical systems. Zbl 1356.65207
Duan, Jun-Sheng; Rach, Randolph; Wazwaz, Abdul-Majid
2
2013
A convergence analysis of the Adomian decomposition method for an abstract Cauchy problem of a system of first-order nonlinear differential equations. Zbl 1321.65108
Bougoffa, Lazhar; Rach, Randolph C.; El-Manouni, Said
2
2013
Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method. Zbl 1245.65087
Duan, Jun-Sheng; Chaolu, Temuer; Rach, Randolph
13
2012
Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions. Zbl 1247.65097
Aly, Emad H.; Ebaid, Abdelhalim; Rach, Randolph
7
2012
Higher-order numeric Wazwaz-El-Sayed modified Adomian decomposition algorithms. Zbl 1247.65109
Duan, Jun-Sheng; Rach, Randolph
5
2012
A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations. Zbl 06045809
Duan, Jun-Sheng; Rach, Randolph
48
2011
New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods. Zbl 1478.65071
Duan, Jun-Sheng; Rach, Randolph
14
2011
Near-field and far-field approximations by the Adomian and asymptotic decomposition methods. Zbl 1209.65071
Rach, Randolph; Duan, Jun-Sheng
13
2011
A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method. Zbl 1252.65207
Bougoffa, Lazhar; Rach, Randolph C.; Mennouni, Abdelaziz
12
2011
An approximate method for solving a class of weakly-singular Volterra integro-differential equations. Zbl 1219.65159
Bougoffa, Lazhar; Rach, Randolph C.; Mennouni, Abdelaziz
10
2011
A new definition of the Adomian polynomials. Zbl 1176.33023
Rach, Randolph C.
51
2008
Numerical integration, analytic continuation, and decomposition. Zbl 0905.65079
Adomian, G.; Rach, R. C.; Meyers, R. E.
14
1997
Modified Adomian polynomials. Zbl 0874.65051
Adomian, G.; Rach, R.
34
1996
Modified decomposition solution of linear and nonlinear boundary-value problems. Zbl 0810.34015
Adomian, G.; Rach, R.
43
1994
Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition. Zbl 0796.35017
Adomian, G.; Rach, R.
63
1993
A new algorithm for matching boundary conditions in decomposition solutions. Zbl 0780.65045
Adomian, G.; Rach, R.
16
1993
Solution of nonlinear partial differential equations in one, two, three, and four dimensions. Zbl 0834.65058
Adomian, G.; Rach, R.
5
1993
Noise terms in decomposition solution series. Zbl 0777.35018
Adomian, G.; Rach, R.
80
1992
A modified decomposition. Zbl 0756.35013
Rach, R.; Adomian, G.; Meyers, R. E.
31
1992
Generalization of Adomian polynomials to functions of several variables. Zbl 0765.34005
Adomian, G.; Rach, R.
19
1992
Nonlinear transformation of series. II. Zbl 0768.40001
Adomian, G.; Rach, R.
15
1992
Differential equations with singular coefficients. Zbl 0748.65066
Rach, R.; Baghdasarian, A.; Adomian, G.
11
1992
A further consideration of partial solutions in the decomposition method. Zbl 0756.35012
Adomian, G.; Rach, R.
11
1992
Modified decomposition solution of nonlinear partial differential equations. Zbl 0794.35023
Adomian, G.; Rach, R.
10
1992
Inhomogeneous nonlinear partial differential equations with variable coefficients. Zbl 0758.35023
Adomian, G.; Rach, R.
8
1992
Transformation of series. Zbl 0742.40004
Adomian, G.; Rach, R.
28
1991
An efficient methodology for the physical sciences. Zbl 0744.65039
Adomian, G.; Rach, R. C.; Meyers, R. E.
28
1991
Numerical algorithms and decomposition. Zbl 0728.65068
Adomian, G.; Rach, R.; Meyers, Ronald E.
12
1991
Solution of nonlinear ordinary and partial differential equations of physics. Zbl 0792.34006
Adomian, G.; Rach, R.
4
1991
Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations. Zbl 0702.35058
Adomian, G.; Rach, R.
50
1990
Multiple decompositions for computational convenience. Zbl 0707.34008
Rach, R.; Adomian, G.
6
1990
Purely nonlinear differential equations. Zbl 0698.34013
Adomian, G.; Rach, R.
2
1990
On approximate solution of a nonlinear differential equation. Zbl 0715.34021
Rach, R.; Baghdasarian, A.
1
1990
A new approach to boundary value equations and application to a generalization of Airy’s equation. Zbl 0678.65057
Adomian, G.; Elrod, M.; Rach, R.
13
1989
On the solution of partial differential equations with specified boundary conditions. Zbl 0678.65084
Adomian, G.; Rach, R.; Elrod, M.
11
1989
Smooth polynomial expansions of piecewise-differentiable functions. Zbl 0721.41043
Rach, R.; Adomian, G.
4
1989
Analytic parametrization and the decomposition method. Zbl 0754.60066
Adomian, G.; Rach, R.
3
1989
The decomposition method applied to stiff systems. Zbl 0645.65040
Adomian, G.; Rach, R.; Elrod, M.
5
1988
An application of the decomposition method to the matrix Riccati equation in a neutron transport process. Zbl 0673.34007
Adomian, G.; Pandolfi, M.; Rach, R.
2
1988
Evaluation of integrals by decomposition. Zbl 0648.65063
Adomian, G.; Rach, R.
1
1988
On the Adomian (decomposition) method and comparisons with Picard’s method. Zbl 0645.60067
Rach, R.
33
1987
On continuous approximate solutions of nonlinear differential equations. Zbl 0633.34010
Rach, R.
2
1987
Explicit solutions for differential equations. Zbl 0635.34003
Adomian, G.; Rach, R.
1
1987
On composite nonlinearities and the decomposition method. Zbl 0617.65046
Adomian, G.; Rach, R.
15
1986
The noisy convergence phenomena in decomposition method solutions. Zbl 0616.65084
Adomian, G.; Rach, R.
14
1986
Algebraic computation and the decomposition method. Zbl 0604.60064
Adomian, G.; Rach, R.
13
1986
On linear and nonlinear integro-differential equations. Zbl 0601.45009
Adomian, G.; Rach, R.
10
1986
Solving nonlinear differential equations with decimal power nonlinearities. Zbl 0591.60052
Adomian, G.; Rach, R.
7
1986
A new computational approach for inversion of very large matrices. Zbl 0613.65023
Adomian, G.; Rach, R.
5
1986
On the solution of nonlinear differential equations with convolution product nonlinearities. Zbl 0588.34004
Adomian, G.; Rach, R.
5
1986
A coupled nonlinear system. Zbl 0616.65054
Adomian, G.; Rach, R.
2
1986
On the solution of algebraic equations by the decomposition method. Zbl 0552.60060
Adomian, G.; Rach, R.
55
1985
Polynomial nonlinearities in differential equations. Zbl 0606.34009
Adomian, G.; Rach, R.
19
1985
On the solution of equations containing radicals by the decomposition method. Zbl 0579.60060
Adomian, G.; Rach, R.; Sarafyan, D.
10
1985
Application of the decomposition method to inversion of matrices. Zbl 0598.65011
Adomian, G.; Rach, R.
9
1985
Coupled differential equations and coupled boundary conditions. Zbl 0579.60057
Adomian, G.; Rach, R.
9
1985
Algebraic equations with exponential terms. Zbl 0579.60058
Adomian, G.; Rach, R.
7
1985
Nonlinear differential equations with negative power nonlinearities. Zbl 0579.60059
Adomian, G.; Rach, R.
7
1985
Nonlinear plasma response. Zbl 0575.60063
Adomian, G.; Rach, R.
3
1985
A convenient computational form for the Adomian polynomials. Zbl 0552.60061
Rach, Randolph
79
1984
On nonzero initial conditions in stochastic differential equations. Zbl 0552.60053
Adomian, G.; Rach, R.
1
1984
Inversion of nonlinear stochastic operators. Zbl 0504.60066
Adomian, G.; Rach, R.
147
1983
Nonlinear stochastic differential delay equations. Zbl 0504.60067
Adomian, G.; Rach, R.
93
1983
A nonlinear differential delay equation. Zbl 0504.60068
Adomian, G.; Rach, R.
9
1983
Coupled nonlinear stochastic differential equations. Zbl 0517.60064
Adomian, G.; Sibul, L. H.; Rach, R.
6
1983
Anharmonic oscillator systems. Zbl 0517.70026
Adomian, G.; Rach, R.
3
1983
all top 5

Cited by 855 Authors

75 Adomian, George
73 Rach, Randolph C.
45 Wazwaz, Abdul-Majid Abdul-Rahman
24 Cherruault, Yves
23 Duan, Junsheng
21 Singh, Randhir
13 Lesnic, Daniel
12 Kumar, Jitendra
11 Abbasbandy, Saeid
11 Bougoffa, Lazhar
10 Ramos, Juan I.
8 Bellomo, Nicola
7 Dehghan Takht Fooladi, Mehdi
7 Ebaid, Abdelhalim
7 Inc, Mustafa
7 Sabir, Zulqurnain
7 Vellaisamy, Palaniappan
6 Abbaoui, Karim
6 Al-Hayani, Waleed
6 Băleanu, Dumitru I.
6 Biazar, Jafar
6 El-Kalla, Ibrahim L.
6 Khuri, Suheil A.
6 Kiliçman, Adem
6 Meyers, Ronald E.
6 Nelakanti, Gnaneshwar
6 Riganti, Riccardo
5 Abolghasemi, Hossein
5 Babolian, Esmail
5 Casasús, Luis
5 Chaolu, Temuer
5 Datta, Barun Kumar
5 Evans, David John
5 Fatoorehchi, Hooman
5 Ganji, Davood Domiri
5 Kataria, Kuldeep Kumar
5 Motsa, Sandile Sydney
5 Raja, Muhammad Asif Zahoor
4 Bildik, Necdet
4 Bonzani, Ida
4 Bulut, Hasan
4 Chun, Changbum
4 El-Sayed, Salah M.
4 Gabet, Lionel
4 Gómez-Aguilar, José Francisco
4 González-Gaxiola, Oswaldo
4 Islam, Saeed
4 Jafari, Hossein
4 Jang, Bongsoo
4 Kaya, Doǧan
4 Luo, Xingguo
4 Monaco, Roberto
4 Noorani, Mohd Salmi Mohd
4 Rèpaci, Antonino
4 Verma, Amit Kumar
4 Ziada, E. A. A.
3 Abassy, Tamer A.
3 Ben Zitoun, Feyed
3 Cafagna, Donato
3 Cordero, Alicia
3 Dang, Chuangyin
3 Darvishi, Mohammad Taghi
3 El-Sayed, Ahmed Mohamed Ahmed
3 Escobar-Jiménez, Ricardo Fabricio
3 García Guirao, Juan Luis
3 García-Olivares, Antonio
3 Gorguis, Alice
3 Grassi, Giuseppe
3 Hasan, Yahya Qaid
3 Hashim, Ishak
3 Jiao, Yongchang
3 Khelifa, Salim
3 Liao, Shijun
3 Madera, Aleksandr Georgievich
3 Marczak, Rogério José
3 Mavoungou, Théophile
3 Mondal, Sankar Prasad
3 Olivares-Peregrino, Victor Hugo
3 Qin, Xiao-Ying
3 Rebelo, Paulo Jorge
3 Sibanda, Precious
3 Siddiqui, Abdul Majeed
3 Singh, Mandeep
3 Singh, Vineet Kumar
3 Sirisubtawee, Sekson
3 Syam, Muhammed I.
3 Tatari, Mehdi
3 Torregrosa Sanchez, Juan Ramón
3 Wahab, Hafiz Abdul
3 Wu, Guocheng
3 Wu, Qingbiao
3 Yépez-Martínez, Huitzilin
3 Yıldırım, Ahmet
3 Zavattaro, M. G.
3 Zhang, Bing-Quan
2 Abdelwahid, Fawzi
2 Aghazadeh, Nasser
2 Agheli, Bahram
2 Ahmadian, Ali
2 Alam, M. Kamran
...and 755 more Authors
all top 5

Cited in 144 Serials

129 Applied Mathematics and Computation
54 Journal of Mathematical Analysis and Applications
46 Computers & Mathematics with Applications
26 International Journal of Computer Mathematics
26 International Journal of Applied and Computational Mathematics
23 Kybernetes
23 Applied Mathematics Letters
22 Journal of Computational and Applied Mathematics
22 Mathematical and Computer Modelling
22 Journal of Mathematical Chemistry
21 Mathematical Problems in Engineering
17 Chaos, Solitons and Fractals
16 Communications in Nonlinear Science and Numerical Simulation
15 Abstract and Applied Analysis
14 Applied Mathematical Modelling
14 Journal of Applied Mathematics and Computing
11 Mathematics and Computers in Simulation
10 Computational and Applied Mathematics
9 Advances in Difference Equations
8 Mathematical Methods in the Applied Sciences
7 Journal of the Egyptian Mathematical Society
7 Discrete Dynamics in Nature and Society
6 Advances in Mathematical Physics
5 International Journal of Modern Physics B
5 Computer Methods in Applied Mechanics and Engineering
5 Numerical Methods for Partial Differential Equations
5 Journal of Applied Mathematics
5 AIMS Mathematics
4 International Journal of Mathematics and Mathematical Sciences
4 Applied Numerical Mathematics
4 Numerical Algorithms
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 International Journal of Biomathematics
4 International Journal of Differential Equations
3 Stochastic Analysis and Applications
3 Acta Applicandae Mathematicae
3 Computers and Mathematics with Applications. Part A
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Nonlinear Dynamics
3 Soft Computing
3 Fractional Calculus & Applied Analysis
3 The ANZIAM Journal
3 International Journal of Computational Methods
2 Computers and Fluids
2 Computer Physics Communications
2 International Journal of Mathematical Education in Science and Technology
2 Indian Journal of Pure & Applied Mathematics
2 Journal of the Franklin Institute
2 Physica A
2 Statistics & Probability Letters
2 Engineering Analysis with Boundary Elements
2 Chaos
2 European Journal of Mechanics. A. Solids
2 Mathematical Modelling and Analysis
2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
2 Advances in Differential Equations and Control Processes
2 International Journal for Numerical Methods in Biomedical Engineering
2 S\(\vec{\text{e}}\)MA Journal
2 Mathematical Sciences
2 Mathematics
2 Journal of Applied Mathematics, Statistics and Informatics
2 International Journal of Advances in Applied Mathematics and Mechanics
1 Modern Physics Letters B
1 Acta Mechanica
1 Discrete Applied Mathematics
1 International Journal of Control
1 International Journal of Engineering Science
1 International Journal of Heat and Mass Transfer
1 Journal of Computational Physics
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 BIT
1 Demonstratio Mathematica
1 Journal of Approximation Theory
1 Meccanica
1 Quaestiones Mathematicae
1 Revista de la Unión Matemática Argentina
1 Semigroup Forum
1 SIAM Journal on Numerical Analysis
1 Bulletin of the Korean Mathematical Society
1 Journal of the Nigerian Mathematical Society
1 Physica D
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Journal of Theoretical Probability
1 Journal of Scientific Computing
1 Signal Processing
1 Linear Algebra and its Applications
1 Turkish Journal of Mathematics
1 Fractals
1 Journal of Vibration and Control
1 LMS Journal of Computation and Mathematics
1 Russian Physics Journal
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Functional Analysis and Applications
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Analysis and Applications
1 Thai Journal of Mathematics
...and 44 more Serials
all top 5

Cited in 39 Fields

438 Numerical analysis (65-XX)
246 Ordinary differential equations (34-XX)
222 Partial differential equations (35-XX)
76 Integral equations (45-XX)
52 Probability theory and stochastic processes (60-XX)
42 Fluid mechanics (76-XX)
42 Biology and other natural sciences (92-XX)
31 Real functions (26-XX)
29 Mechanics of deformable solids (74-XX)
23 Systems theory; control (93-XX)
21 Classical thermodynamics, heat transfer (80-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Operator theory (47-XX)
14 Approximations and expansions (41-XX)
13 Statistical mechanics, structure of matter (82-XX)
11 Special functions (33-XX)
10 Computer science (68-XX)
9 Integral transforms, operational calculus (44-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Mechanics of particles and systems (70-XX)
7 Operations research, mathematical programming (90-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Quantum theory (81-XX)
5 Astronomy and astrophysics (85-XX)
5 Information and communication theory, circuits (94-XX)
4 Combinatorics (05-XX)
4 Optics, electromagnetic theory (78-XX)
3 Number theory (11-XX)
3 Sequences, series, summability (40-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Difference and functional equations (39-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year