-
2
-
-
34249883406
-
-
T. A. Abassy, M. A. El-Tawil, H. K. Saleh, The solution of Burgers' and good boussinesq equations using ADM-Padé technique, Chaos Solitons & Fractals, in press.
-
-
-
-
3
-
-
43949159125
-
Convergence of Adomian's method applied to differential equations
-
Abbaoui K., and Cherruault Y. Convergence of Adomian's method applied to differential equations. Comput. Math. Appl. 28 5 (1994) 103-109
-
(1994)
Comput. Math. Appl.
, vol.28
, Issue.5
, pp. 103-109
-
-
Abbaoui, K.1
Cherruault, Y.2
-
4
-
-
43949158252
-
Convergence of Adomian's method applied to nonlinear equations
-
Abbaoui K., and Cherruault Y. Convergence of Adomian's method applied to nonlinear equations. Math. Comput. Modelling 20 9 (1994) 69-73
-
(1994)
Math. Comput. Modelling
, vol.20
, Issue.9
, pp. 69-73
-
-
Abbaoui, K.1
Cherruault, Y.2
-
5
-
-
0000487641
-
New ideas for proving convergence of decomposition methods
-
Abbaoui K., and Cherruault Y. New ideas for proving convergence of decomposition methods. Comput. Math. Appl. 29 7 (1995) 103-108
-
(1995)
Comput. Math. Appl.
, vol.29
, Issue.7
, pp. 103-108
-
-
Abbaoui, K.1
Cherruault, Y.2
-
6
-
-
0002133460
-
Practical formulae for the calculus of multivariable Adomian polynomials
-
Abbaoui K., Cherruault Y., and Seng V. Practical formulae for the calculus of multivariable Adomian polynomials. Math. Comput. Modelling 22 1 (1995) 89-93
-
(1995)
Math. Comput. Modelling
, vol.22
, Issue.1
, pp. 89-93
-
-
Abbaoui, K.1
Cherruault, Y.2
Seng, V.3
-
7
-
-
0033241451
-
The decomposition method applied to the Cauchy problem
-
Abbaoui K., and Cherruault Y. The decomposition method applied to the Cauchy problem. Kybernetes 28 1 (1999) 68-74
-
(1999)
Kybernetes
, vol.28
, Issue.1
, pp. 68-74
-
-
Abbaoui, K.1
Cherruault, Y.2
-
8
-
-
0042522428
-
Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
-
Abbasbandy S. Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method. Appl. Math. Comput. 145 (2003) 887-893
-
(2003)
Appl. Math. Comput.
, vol.145
, pp. 887-893
-
-
Abbasbandy, S.1
-
9
-
-
19144370690
-
Stochastic Burger's equation
-
Adomian G. Stochastic Burger's equation. Math. Comput. Modelling 22 8 (1995) 103-105
-
(1995)
Math. Comput. Modelling
, vol.22
, Issue.8
, pp. 103-105
-
-
Adomian, G.1
-
10
-
-
0021495016
-
A new approach to nonlinear partial differential equations
-
Adomian G. A new approach to nonlinear partial differential equations. J. Math. Anal. Appl. 102 (1984) 420-434
-
(1984)
J. Math. Anal. Appl.
, vol.102
, pp. 420-434
-
-
Adomian, G.1
-
11
-
-
0022440022
-
A new approach to the heat equation-an application of the decomposition method
-
Adomian G. A new approach to the heat equation-an application of the decomposition method. J. Math. Anal. Appl. 113 (1986) 202-209
-
(1986)
J. Math. Anal. Appl.
, vol.113
, pp. 202-209
-
-
Adomian, G.1
-
13
-
-
34249892520
-
-
G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Boston, 1994.
-
-
-
-
14
-
-
11144252477
-
Random volterra integral equations
-
Adomian G. Random volterra integral equations. Math. Comput. Modelling 22 8 (1995) 101-102
-
(1995)
Math. Comput. Modelling
, vol.22
, Issue.8
, pp. 101-102
-
-
Adomian, G.1
-
15
-
-
0005336127
-
Explicit solutions of nonlinear partial differential equations
-
Adomian G. Explicit solutions of nonlinear partial differential equations. Appl. Math. Comput. 88 (1997) 117-126
-
(1997)
Appl. Math. Comput.
, vol.88
, pp. 117-126
-
-
Adomian, G.1
-
17
-
-
0036778809
-
Solution of nonlinear equations by modified Adomian decomposition method
-
Babolian E., and Biazar J. Solution of nonlinear equations by modified Adomian decomposition method. Appl. Math. Comput. 132 (2002) 167-172
-
(2002)
Appl. Math. Comput.
, vol.132
, pp. 167-172
-
-
Babolian, E.1
Biazar, J.2
-
18
-
-
2442504988
-
Numerical implementation of Adomian decomposition method
-
Babolian E., and Davari A. Numerical implementation of Adomian decomposition method. Appl. Math. Comput. 153 (2004) 301-305
-
(2004)
Appl. Math. Comput.
, vol.153
, pp. 301-305
-
-
Babolian, E.1
Davari, A.2
-
19
-
-
0033240075
-
Convergence of Adomian's method applied to integral equations
-
Badredine T., Abbaoui K., and Cherruault Y. Convergence of Adomian's method applied to integral equations. Kybernetes 28 5 (1999) 557-564
-
(1999)
Kybernetes
, vol.28
, Issue.5
, pp. 557-564
-
-
Badredine, T.1
Abbaoui, K.2
Cherruault, Y.3
-
20
-
-
32144449928
-
A new iterative method to compute nonlinear equations
-
Basto M., Semiao V., and Calheiros F. A new iterative method to compute nonlinear equations. Appl. Math. Comput. 173 (2006) 468-483
-
(2006)
Appl. Math. Comput.
, vol.173
, pp. 468-483
-
-
Basto, M.1
Semiao, V.2
Calheiros, F.3
-
21
-
-
77956834067
-
A mathematical model illustrating the theory of turbulence
-
Burgers J.M. A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 1 (1948) 171-199
-
(1948)
Adv. Appl. Mech.
, vol.1
, pp. 171-199
-
-
Burgers, J.M.1
-
22
-
-
4944232599
-
An algorithm for Adomian decomposition method
-
Chen W., and Lu Z. An algorithm for Adomian decomposition method. Appl. Math. Comput. 159 (2004) 221-235
-
(2004)
Appl. Math. Comput.
, vol.159
, pp. 221-235
-
-
Chen, W.1
Lu, Z.2
-
23
-
-
0036883294
-
Explicit solution of nonlinear electrochemical models by the decomposition method
-
Cheng M., Scott K., Sun Y., and Wu B. Explicit solution of nonlinear electrochemical models by the decomposition method. Chem. Eng. Technol. 25 (2002) 1155-1160
-
(2002)
Chem. Eng. Technol.
, vol.25
, pp. 1155-1160
-
-
Cheng, M.1
Scott, K.2
Sun, Y.3
Wu, B.4
-
24
-
-
84970868898
-
Convergence of Adomian's method
-
Cherruault Y. Convergence of Adomian's method. Kybernetes 18 2 (1989) 31-38
-
(1989)
Kybernetes
, vol.18
, Issue.2
, pp. 31-38
-
-
Cherruault, Y.1
-
25
-
-
1842455890
-
A computational approach to the wave equations, an application of the decomposition method
-
Cherruault Y., and Abbaoui K. A computational approach to the wave equations, an application of the decomposition method. Kybernetes 33 1 (2004) 80-97
-
(2004)
Kybernetes
, vol.33
, Issue.1
, pp. 80-97
-
-
Cherruault, Y.1
Abbaoui, K.2
-
26
-
-
0000395259
-
Decomposition method: a new proof of convergence
-
Cherruault Y., and Adomian G. Decomposition method: a new proof of convergence. Math. Comput. Modelling 18 12 (1993) 103-106
-
(1993)
Math. Comput. Modelling
, vol.18
, Issue.12
, pp. 103-106
-
-
Cherruault, Y.1
Adomian, G.2
-
28
-
-
0013154297
-
New results for convergence of Adomian's method applied to integral equations
-
Cherruault Y., Saccomandi G., and Some B. New results for convergence of Adomian's method applied to integral equations. Math. Comput. Modelling 16 2 (1992) 85-93
-
(1992)
Math. Comput. Modelling
, vol.16
, Issue.2
, pp. 85-93
-
-
Cherruault, Y.1
Saccomandi, G.2
Some, B.3
-
29
-
-
0000332692
-
On a quasi-linear parabolic equation occurring in aerodynamics
-
Cole J.D. On a quasi-linear parabolic equation occurring in aerodynamics. Quart. Appl. Math. 9 3 (1951) 225-236
-
(1951)
Quart. Appl. Math.
, vol.9
, Issue.3
, pp. 225-236
-
-
Cole, J.D.1
-
31
-
-
0037465601
-
A comparison of Adomian's decomposition method and wavelet-Galerkin method for solving integro-differential equations
-
El-Sayed S.M., and Abdel-Aziz M.R. A comparison of Adomian's decomposition method and wavelet-Galerkin method for solving integro-differential equations. Appl. Math. Comput. 136 (2003) 151-159
-
(2003)
Appl. Math. Comput.
, vol.136
, pp. 151-159
-
-
El-Sayed, S.M.1
Abdel-Aziz, M.R.2
-
32
-
-
4544372221
-
On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method
-
El-Sayed S.M., and Kaya D. On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method. Appl. Math. Comput. 158 (2004) 101-109
-
(2004)
Appl. Math. Comput.
, vol.158
, pp. 101-109
-
-
El-Sayed, S.M.1
Kaya, D.2
-
33
-
-
4444374711
-
Solving Riccati differential equation using Adomian's decomposition method
-
El-Tawil M.A., Bahnasawi A.A., and A.-Naby A. Solving Riccati differential equation using Adomian's decomposition method. Appl. Math. Comput. 157 (2004) 503-514
-
(2004)
Appl. Math. Comput.
, vol.157
, pp. 503-514
-
-
El-Tawil, M.A.1
Bahnasawi, A.A.2
A.-Naby, A.3
-
38
-
-
38149147577
-
The theoretical foundation of the Adomian method
-
Gabet L. The theoretical foundation of the Adomian method. Comput. Math. Appl. 27 12 (1994) 41-52
-
(1994)
Comput. Math. Appl.
, vol.27
, Issue.12
, pp. 41-52
-
-
Gabet, L.1
-
39
-
-
0031072223
-
Numerical study of Lorenz's equation by the Adomian method
-
Guellal S., Grimalt P., and Cherruault Y. Numerical study of Lorenz's equation by the Adomian method. Comput. Math. Appl. 33 3 (1997) 25-29
-
(1997)
Comput. Math. Appl.
, vol.33
, Issue.3
, pp. 25-29
-
-
Guellal, S.1
Grimalt, P.2
Cherruault, Y.3
-
42
-
-
4944259773
-
Adomian decomposition method for Burger's-Huxley and Burger's-Fisher equations
-
Ismail H.N.A., Raslan K., and Rabboh A.A.A. Adomian decomposition method for Burger's-Huxley and Burger's-Fisher equations. Appl. Math. Comput. 159 (2004) 291-301
-
(2004)
Appl. Math. Comput.
, vol.159
, pp. 291-301
-
-
Ismail, H.N.A.1
Raslan, K.2
Rabboh, A.A.A.3
-
43
-
-
0036499003
-
An after treatment technique for improving the accuracy of Adomian's decomposition method
-
Jiao Y.C., Yamamoto Y., Dang C., and Hao Y. An after treatment technique for improving the accuracy of Adomian's decomposition method. Comput. Math. Appl. 43 (2002) 783-798
-
(2002)
Comput. Math. Appl.
, vol.43
, pp. 783-798
-
-
Jiao, Y.C.1
Yamamoto, Y.2
Dang, C.3
Hao, Y.4
-
45
-
-
0001250661
-
On the solution of a Korteweg-de-Vries like equation by the decomposition method
-
Kaya D. On the solution of a Korteweg-de-Vries like equation by the decomposition method. Internat. J. Comput. Math. 72 (1999) 531-539
-
(1999)
Internat. J. Comput. Math.
, vol.72
, pp. 531-539
-
-
Kaya, D.1
-
46
-
-
0036645762
-
An application for a generalized KdV equation by the decomposition method
-
Kaya D., and Aassila M. An application for a generalized KdV equation by the decomposition method. Phys. Lett. A 299 (2002) 201-206
-
(2002)
Phys. Lett. A
, vol.299
, pp. 201-206
-
-
Kaya, D.1
Aassila, M.2
-
47
-
-
10644229158
-
A convergence analysis of the ADM and an application
-
Kaya D., and Inan I.E. A convergence analysis of the ADM and an application. Appl. Math. Comput. 161 3 (2005) 1015-1025
-
(2005)
Appl. Math. Comput.
, vol.161
, Issue.3
, pp. 1015-1025
-
-
Kaya, D.1
Inan, I.E.2
-
48
-
-
0038005388
-
On the solution of the coupled Schrödinger-KdV equation by the decomposition method
-
Kaya D., and El-Sayed S.M. On the solution of the coupled Schrödinger-KdV equation by the decomposition method. Phys. Lett. A 313 (2003) 82-88
-
(2003)
Phys. Lett. A
, vol.313
, pp. 82-88
-
-
Kaya, D.1
El-Sayed, S.M.2
-
49
-
-
26044453236
-
A numerical application of the decomposition method for the combined KdV-MKdV equation
-
Kaya D., and Inan I.E. A numerical application of the decomposition method for the combined KdV-MKdV equation. Appl. Math. Comput. 168 2 (2005) 915-926
-
(2005)
Appl. Math. Comput.
, vol.168
, Issue.2
, pp. 915-926
-
-
Kaya, D.1
Inan, I.E.2
-
50
-
-
0037107899
-
A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
-
Kaya D., and Yokus A. A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations. Math. Comput. Simul. 60 (2002) 507-512
-
(2002)
Math. Comput. Simul.
, vol.60
, pp. 507-512
-
-
Kaya, D.1
Yokus, A.2
-
51
-
-
0035311871
-
A computational algebraic investigation of the decomposition method for time-dependent problems
-
Lesnic D. A computational algebraic investigation of the decomposition method for time-dependent problems. Appl. Math. Comput. 119 (2001) 197-206
-
(2001)
Appl. Math. Comput.
, vol.119
, pp. 197-206
-
-
Lesnic, D.1
-
52
-
-
0036630244
-
Convergence of Adomian's decomposition method: Periodic temperatures
-
Lesnic D. Convergence of Adomian's decomposition method: Periodic temperatures. Comput. Math. Appl. 44 (2002) 13-24
-
(2002)
Comput. Math. Appl.
, vol.44
, pp. 13-24
-
-
Lesnic, D.1
-
53
-
-
0036772904
-
The decomposition method for forward and backward time-dependent problems
-
Lesnic D. The decomposition method for forward and backward time-dependent problems. J. Comput. Appl. Math. 147 (2002) 27-39
-
(2002)
J. Comput. Appl. Math.
, vol.147
, pp. 27-39
-
-
Lesnic, D.1
-
54
-
-
21144474021
-
Convergence of Adomian's method and applications to non-linear partial differential equations
-
Mavoungou T., and Cherruault Y. Convergence of Adomian's method and applications to non-linear partial differential equations. Kybernetes 21 6 (1992) 13-25
-
(1992)
Kybernetes
, vol.21
, Issue.6
, pp. 13-25
-
-
Mavoungou, T.1
Cherruault, Y.2
-
55
-
-
0002840078
-
Numerical study of Fisher's equation by Adomian's method
-
Mavoungou T., and Cherruault Y. Numerical study of Fisher's equation by Adomian's method. Math. Comput. Modelling 19 1 (1994) 89-95
-
(1994)
Math. Comput. Modelling
, vol.19
, Issue.1
, pp. 89-95
-
-
Mavoungou, T.1
Cherruault, Y.2
-
56
-
-
0036347259
-
New numerical study of Adomian method applied to a diffusion model
-
Ngarhasta N., Some B., Abbaoui K., and Cherruault Y. New numerical study of Adomian method applied to a diffusion model. Kybernetes 31 1 (2002) 61-75
-
(2002)
Kybernetes
, vol.31
, Issue.1
, pp. 61-75
-
-
Ngarhasta, N.1
Some, B.2
Abbaoui, K.3
Cherruault, Y.4
-
58
-
-
0034145059
-
Convergence and accuracy of Adomian's decomposition method for the solution of Lorenz equations
-
Vadasz P., and Olek S. Convergence and accuracy of Adomian's decomposition method for the solution of Lorenz equations. Internat. J. Heat and Mass Transfer 43 (2000) 1715-1734
-
(2000)
Internat. J. Heat and Mass Transfer
, vol.43
, pp. 1715-1734
-
-
Vadasz, P.1
Olek, S.2
-
59
-
-
0002566545
-
A comparison between Adomian decomposition method and Taylor series method in the series solutions
-
Wazwaz A.-M. A comparison between Adomian decomposition method and Taylor series method in the series solutions. Appl. Math. Comput. 97 (1998) 37-44
-
(1998)
Appl. Math. Comput.
, vol.97
, pp. 37-44
-
-
Wazwaz, A.-M.1
-
60
-
-
0041791040
-
The decomposition method for approximate solution of the Goursat problem
-
Wazwaz A.-M. The decomposition method for approximate solution of the Goursat problem. Appl. Math. Comput. 69 (1995) 299-311
-
(1995)
Appl. Math. Comput.
, vol.69
, pp. 299-311
-
-
Wazwaz, A.-M.1
-
61
-
-
0000945028
-
A new approach to the nonlinear advection problem: an application of the decomposition method
-
Wazwaz A.-M. A new approach to the nonlinear advection problem: an application of the decomposition method. Appl. Math. Comput. 72 (1995) 175-181
-
(1995)
Appl. Math. Comput.
, vol.72
, pp. 175-181
-
-
Wazwaz, A.-M.1
-
62
-
-
23644437348
-
Necessary conditions for the appearance of noise terms in decomposition solution series
-
Wazwaz A.-M. Necessary conditions for the appearance of noise terms in decomposition solution series. Appl. Math. Comput. 81 (1997) 265-274
-
(1997)
Appl. Math. Comput.
, vol.81
, pp. 265-274
-
-
Wazwaz, A.-M.1
-
63
-
-
23644436694
-
A reliable technique for solving the wave equation in an infinite one-dimensional medium
-
Wazwaz A.-M. A reliable technique for solving the wave equation in an infinite one-dimensional medium. Appl. Math. Comput. 92 (1998) 1-7
-
(1998)
Appl. Math. Comput.
, vol.92
, pp. 1-7
-
-
Wazwaz, A.-M.1
-
64
-
-
0002751751
-
The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation
-
Wazwaz A.-M. The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation. Appl. Math. Comput. 105 (1999) 11-19
-
(1999)
Appl. Math. Comput.
, vol.105
, pp. 11-19
-
-
Wazwaz, A.-M.1
-
65
-
-
0002811385
-
Analytica approximations and Padé approximants for Volterra's population model
-
Wazwaz A.-M. Analytica approximations and Padé approximants for Volterra's population model. Appl. Math. Comput. 100 (1999) 13-25
-
(1999)
Appl. Math. Comput.
, vol.100
, pp. 13-25
-
-
Wazwaz, A.-M.1
-
66
-
-
0035452509
-
Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
-
Wazwaz A.-M. Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. Chaos Solitons & Fractals 12 (2001) 2283-2293
-
(2001)
Chaos Solitons & Fractals
, vol.12
, pp. 2283-2293
-
-
Wazwaz, A.-M.1
-
67
-
-
0346119929
-
Exact solutions for heat-like and wave-like equations with variable coefficients
-
Wazwaz A.-M., and Gorguis A. Exact solutions for heat-like and wave-like equations with variable coefficients. Appl. Math. Comput. 149 (2004) 15-29
-
(2004)
Appl. Math. Comput.
, vol.149
, pp. 15-29
-
-
Wazwaz, A.-M.1
Gorguis, A.2
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