-
3
-
-
84970868898
-
Convergence of Adomian's method
-
Y. Cherruault, Convergence of Adomian's method, Kybernetes 18 (1989), 31-38.
-
(1989)
Kybernetes
, vol.18
, pp. 31-38
-
-
Cherruault, Y.1
-
4
-
-
43949159125
-
Convergence of adomian's method applied to differential equations
-
K. Abbaoui, and, Y. Cherruault, Convergence of adomian's method applied to differential equations, Comp Math Appl 28 (1994), 103-109.
-
(1994)
Comp Math Appl
, vol.28
, pp. 103-109
-
-
Abbaoui, K.1
Cherruault, Y.2
-
5
-
-
43949158252
-
Convergence of Adomian's method applied to nonlinear equations
-
K. Abbaoui, and, Y. Cherruault, Convergence of Adomian's method applied to nonlinear equations, Math Computer Model 20 (1994), 69-73.
-
(1994)
Math Computer Model
, vol.20
, pp. 69-73
-
-
Abbaoui, K.1
Cherruault, Y.2
-
6
-
-
0033240054
-
New results of convergence of Adomian's method
-
N. Himoun, K. Abbaoui, and, Y. Cherruault, New results of convergence of Adomian's method, Kybernetes 28 (1999), 423-429.
-
(1999)
Kybernetes
, vol.28
, pp. 423-429
-
-
Himoun, N.1
Abbaoui, K.2
Cherruault, Y.3
-
7
-
-
0037263170
-
New results on Adomian method
-
N. Himoun, K. Abbaoui, and, Y. Cherruault, Short new results on Adomian method, Kybernetes 32 (2003), 523-539. (Pubitemid 36467896)
-
(2003)
Kybernetes
, vol.32
, Issue.3-4
, pp. 523-539
-
-
Himoun, N.1
Abbaoui, K.2
Cherruault, Y.3
-
8
-
-
33750813913
-
On the convergence of Adomian decomposition method
-
DOI 10.1016/j.amc.2006.04.015, PII S0096300306003614
-
M. Hosseini, and, H. Nasabzadeh, On the convergence of Adomian decomposition method, Appl. Math. Comput 182 (2006), 536-543. (Pubitemid 44716310)
-
(2006)
Applied Mathematics and Computation
, vol.182
, Issue.1
, pp. 536-543
-
-
Hosseini, M.M.1
Nasabzadeh, H.2
-
9
-
-
0036630244
-
Convergence of Adomian's decomposition method: Periodic temperatures
-
DOI 10.1016/S0898-1221(02)00127-X, PII S089812210200127X
-
D. Lesnic, Convergence of Adomian's decomposition method: periodic temperatures, Comp Math Appl 44 (2002), 13-24. (Pubitemid 35009005)
-
(2002)
Computers and Mathematics with Applications
, vol.44
, Issue.1-2
, pp. 13-24
-
-
Lesnic, D.1
-
10
-
-
33749534281
-
The decomposition method for initial value problems
-
DOI 10.1016/j.amc.2006.01.025, PII S0096300306000919
-
D. Lesnic, The decomposition method for initial value problems, Appl Math Comp 181 (2006), 206-213. (Pubitemid 44528012)
-
(2006)
Applied Mathematics and Computation
, vol.181
, Issue.1
, pp. 206-213
-
-
Lesnic, D.1
-
11
-
-
0000738773
-
On the Adomian (decomposition) method and comparisons with Picard's method
-
R. Rach, On the Adomian (decomposition) method and comparisons with Picard's method, J Math Anal Appl 128 (1987), 480-483.
-
(1987)
J Math Anal Appl
, vol.128
, pp. 480-483
-
-
Rach, R.1
-
12
-
-
51349098347
-
A new definition of the Adomian polynomians
-
R. Rach, A new definition of the Adomian polynomians, Kybernetes 37 (2008), 910-955.
-
(2008)
Kybernetes
, vol.37
, pp. 910-955
-
-
Rach, R.1
-
13
-
-
0037102888
-
On the order of convergence of Adomian method
-
DOI 10.1016/S0096-3003(01)00103-5, PII S0096300301001035
-
E. Babolian, and, J. Biazar, On the order of convergence of Adomian method, Appl Math Comput 130 (2002), 383-387. (Pubitemid 34704464)
-
(2002)
Applied Mathematics and Computation
, vol.130
, Issue.2-3
, pp. 383-387
-
-
Babolian, E.1
Biazar, J.2
-
14
-
-
2342515447
-
The rate of convergence for the decomposition method
-
A. Boumenir, and, M. Gordon, The rate of convergence for the decomposition method, Numer Funct Anal Optim 25 (2004), 15-25.
-
(2004)
Numer Funct Anal Optim
, vol.25
, pp. 15-25
-
-
Boumenir, A.1
Gordon, M.2
-
15
-
-
35148880233
-
Error analysis of adomian series solution to a class of nonlinear differential equations
-
I. El-Kalla, Error analysis of adomian series solution to a class of nonlinear differential equations, Appl Math E-Notes 7 (2007), 214-221.
-
(2007)
Appl Math E-Notes
, vol.7
, pp. 214-221
-
-
El-Kalla, I.1
-
16
-
-
38249035140
-
On Adomian's decomposition methods and some comparisons with Picard's iterative scheme
-
N. Bellomo, and, D. Sarafyan, On Adomian's decomposition methods and some comparisons with Picard's iterative scheme, J Math Anal Appl 123 (1987), 389-400.
-
(1987)
J Math Anal Appl
, vol.123
, pp. 389-400
-
-
Bellomo, N.1
Sarafyan, D.2
-
17
-
-
0038374494
-
A note on the decomposition method for operator equation
-
M. A. Golberg, A note on the decomposition method for operator equation, Appl Math Comput 106 (1999), 215-220.
-
(1999)
Appl Math Comput
, vol.106
, pp. 215-220
-
-
Golberg, M.A.1
-
18
-
-
0002566545
-
A comparison between Adomian decomposition method and Taylor series method in the series solutions
-
A. M. Wazwaz, 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
-
19
-
-
0011092359
-
A comparison of Adomian's decomposition method and Runge-Kutta methods for approximate solution of some predator prey model equations
-
Manchester, UK
-
J. Y. Edwards, J. A. Roberts, and, N. J. Ford, A comparison of Adomian's decomposition method and Runge-Kutta methods for approximate solution of some predator prey model equations, Technical Report 309, Manchester Center of Computational Mathematics, Manchester, UK, 1997, pp. 1-17.
-
(1997)
Technical Report 309, Manchester Center of Computational Mathematics
, pp. 1-17
-
-
Edwards, J.Y.1
Roberts, J.A.2
Ford, N.J.3
-
20
-
-
1642290056
-
Comparing numerical methods for the solutions of systems of ordinary differential equations
-
N. Shawagfeh, and, D. Kaya, Comparing numerical methods for the solutions of systems of ordinary differential equations, Appl Math Lett 17 (2004), 323-328.
-
(2004)
Appl Math Lett
, vol.17
, pp. 323-328
-
-
Shawagfeh, N.1
Kaya, D.2
-
21
-
-
0041174875
-
The decomposition method for solving a second kind fredholm integral equation with a logarithmic kernel
-
A. M. Wazwaz, and, S. Khuri, The decomposition method for solving a second kind Fredholm equation with a logarithmic kernel, J Comput Math 61 (1996), 103-110. (Pubitemid 126604818)
-
(1996)
International Journal of Computer Mathematics
, vol.61
, Issue.1-2
, pp. 103-110
-
-
Khuri, S.A.1
Wazwaz, A.M.2
-
22
-
-
18644372820
-
A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems
-
DOI 10.1016/j.cam.2004.11.007, PII S0377042704005394
-
X. Zhang, A modification of the Adomian Decomposition Method for a class of nonlinear singular boundary value problems, J Comput Appl Math 180 (2005), 377-389. (Pubitemid 40661584)
-
(2005)
Journal of Computational and Applied Mathematics
, vol.180
, Issue.2
, pp. 377-389
-
-
Zhang, X.1
-
23
-
-
29844442304
-
An iterative method for solving nonlinear functional equations
-
DOI 10.1016/j.jmaa.2005.05.009, PII S0022247X05004427
-
D. Gejji, and, H. Jafari, An iterative method for solving nonlinear functional equations, J Math Anal Appl 316 (2006), 753-763. (Pubitemid 43033583)
-
(2006)
Journal of Mathematical Analysis and Applications
, vol.316
, Issue.2
, pp. 753-763
-
-
Daftardar-Gejji, V.1
Jafari, H.2
-
24
-
-
79954531168
-
Revised adomian decomposition method for solving a system of nonlinear equations
-
H. Jafari, and, D. Gejji, Revised adomian decomposition method for solving a system of nonlinear equations, Appl Math Comput 7 (2006), 175-181.
-
(2006)
Appl Math Comput
, vol.7
, pp. 175-181
-
-
Jafari, H.1
Gejji, D.2
-
25
-
-
34248540957
-
On numerical solution of partial differential equation by the decomposition method
-
M. Inc, On numerical solution of partial differential equation by the decomposition method, Kragujevac J Math 26 (2004), 153-164.
-
(2004)
Kragujevac J Math
, vol.26
, pp. 153-164
-
-
Inc, M.1
-
26
-
-
33646369364
-
Revisit on partial solutions in the Adomian decomposition method: Solving heat and wave equations
-
DOI 10.1016/j.jmaa.2005.08.043, PII S0022247X05008267
-
X. Luo, Q. Wu, and, B. Zhang, Revisit on partial solutions in the Adomian decomposition method: solving heat and wave equations, J Math Anal Appl 321 (2006), 353-363. (Pubitemid 43664844)
-
(2006)
Journal of Mathematical Analysis and Applications
, vol.321
, Issue.1
, pp. 353-363
-
-
Luo, X.G.1
Wu, Q.B.2
Zhang, B.Q.3
-
28
-
-
48549114390
-
Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
-
T. R. Taha, and, M. J. Ablowitz, Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation, J Comput Phys 55 (1984), 203-230.
-
(1984)
J Comput Phys
, vol.55
, pp. 203-230
-
-
Taha, T.R.1
Ablowitz, M.J.2
-
30
-
-
0034384129
-
The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation
-
A. Durán, and, J. M. Sanz-Serna, The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation, IMA J Numer Anal 20 (2000), 235-261.
-
(2000)
IMA J Numer Anal
, vol.20
, pp. 235-261
-
-
Durán, A.1
Sanz-Serna, J.M.2
-
31
-
-
21244489047
-
A relaxation scheme for the nonlinear schrödinger equation
-
DOI 10.1137/S0036142901396521
-
C. Besse, A relaxation scheme for the nonlinear Schrödinger equation, SIAM J Numer Anal 42 (2004), 934-952. (Pubitemid 40892102)
-
(2004)
SIAM Journal on Numerical Analysis
, vol.42
, Issue.3
, pp. 934-952
-
-
Besse, C.1
-
32
-
-
33645922158
-
On the constants for multiplication in Sobolev spaces
-
C. Morosi, and, L. Pizzochero, On the constants for multiplication in Sobolev spaces, Adv Appl Math 36 (2006), 319-363.
-
(2006)
Adv Appl Math
, vol.36
, pp. 319-363
-
-
Morosi, C.1
Pizzochero, L.2
-
33
-
-
84863473561
-
-
Scotland, July 1-19, 1974, Lecture Notes in Mathematics 448, Springer-Verlag, Berlin
-
T. Kato, Quasilinear equations of evolution, with applications to partial differential equations, Spectral theory and differential equations: Proceedings of the Symposium Held at Dundee, Scotland, July 1-19, 1974, Lecture Notes in Mathematics 448, Springer-Verlag, Berlin, 1975, p. 2570.
-
(1975)
Quasilinear Equations of Evolution, with Applications to Partial Differential Equations, Spectral Theory and Differential Equations: Proceedings of the Symposium Held at Dundee
, pp. 2570
-
-
Kato, T.1
-
34
-
-
78650283389
-
-
M.Sc. Dissertation, McMaster University, Hamilton, ON, Canada
-
A. H. M. Abdelrazec, Adomian decomposition method: convergence analysis and numerical approximations", M.Sc. Dissertation, McMaster University, Hamilton, ON, Canada, 2008.
-
(2008)
Adomian Decomposition Method: Convergence Analysis and Numerical Approximations"
-
-
Abdelrazec, A.H.M.1
|