-
1
-
-
0000461055
-
Remarks on blow-up and non-existence theorems for nonlinear evolution equations
-
J. Ball Remarks on blow-up and non-existence theorems for nonlinear evolution equations Quart J Math 28 1977 473 483
-
(1977)
Quart J Math
, vol.28
, pp. 473-483
-
-
Ball, J.1
-
2
-
-
0032155992
-
Blow-up in diffusion equations: A survey
-
C. Bandle, and H. Brenner Blow-up in diffusion equations: a survey J Comput Appl Math 97 1998 3 22
-
(1998)
J Comput Appl Math
, vol.97
, pp. 3-22
-
-
Bandle, C.1
Brenner, H.2
-
3
-
-
0032155114
-
An asymptotic and numerical description of self-similar blow-up in quasi-linear parabolic equations
-
C.J. Budd, G.J. Collins, and V.A. Galaktionov An asymptotic and numerical description of self-similar blow-up in quasi-linear parabolic equations J Comput Appl Math 97 1998 51 80
-
(1998)
J Comput Appl Math
, vol.97
, pp. 51-80
-
-
Budd, C.J.1
Collins, G.J.2
Galaktionov, V.A.3
-
4
-
-
0038013498
-
Explicit solutions of a generalized Boussinesq equation
-
D. Kaya Explicit solutions of a generalized Boussinesq equation J Appl Math 1 2001 29 37
-
(2001)
J Appl Math
, vol.1
, pp. 29-37
-
-
Kaya, D.1
-
5
-
-
0035840362
-
Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions
-
A.M. Wazwaz Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions Appl Math Comput 123 2001 133 140
-
(2001)
Appl Math Comput
, vol.123
, pp. 133-140
-
-
Wazwaz, A.M.1
-
6
-
-
33745586256
-
Blow-up in the Boussinesq equation
-
S.K. Turitsyn Blow-up in the Boussinesq equation Phys Rev E 47 1993 R796 R799
-
(1993)
Phys Rev e
, vol.47
-
-
Turitsyn, S.K.1
-
7
-
-
0000338933
-
A comparison of solutions of two model equations for long waves
-
N. Lebovitz AMS Providence
-
J. Bona, W.G. Pritchard, and L.R. Scott A comparison of solutions of two model equations for long waves N. Lebovitz Lectures in applied mathematics vol. 20 1982 AMS Providence 235 267
-
(1982)
Lectures in Applied Mathematics
, vol.20
, pp. 235-267
-
-
Bona, J.1
Pritchard, W.G.2
Scott, L.R.3
-
8
-
-
0032043080
-
Blow up of solutions of a generalized Boussinesq equation
-
A. de Godefroy Blow up of solutions of a generalized Boussinesq equation IMA J Appl Math 60 1998 123 138
-
(1998)
IMA J Appl Math
, vol.60
, pp. 123-138
-
-
De Godefroy, A.1
-
9
-
-
27644441000
-
A comparison of the iterative method and Picard's successive approximations for deterministic and stochastic differential equations
-
G. Adomian, and K. Malakian A comparison of the iterative method and Picard's successive approximations for deterministic and stochastic differential equations Appl Math Comput 8 1981 187 204
-
(1981)
Appl Math Comput
, vol.8
, pp. 187-204
-
-
Adomian, G.1
Malakian, K.2
-
10
-
-
38149147577
-
The theoretical foundation of the Adomian method
-
L. Gabet The theoretical foundation of the Adomian method Comput Math Appl 27 1994 41 52
-
(1994)
Comput Math Appl
, vol.27
, pp. 41-52
-
-
Gabet, L.1
-
11
-
-
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
-
12
-
-
0037542776
-
A new analytic algorithm of Lane-Emden type equations
-
S. Liao A new analytic algorithm of Lane-Emden type equations Appl Math Comput 142 2003 1 16
-
(2003)
Appl Math Comput
, vol.142
, pp. 1-16
-
-
Liao, S.1
-
13
-
-
1242343926
-
Comparing numerical methods for Helmholtz equation model problem
-
S.M. El-Sayed, and D. Kaya Comparing numerical methods for Helmholtz equation model problem Appl Math Comput 150 2004 763 773
-
(2004)
Appl Math Comput
, vol.150
, pp. 763-773
-
-
El-Sayed, S.M.1
Kaya, D.2
-
14
-
-
4544348370
-
Numerical comparison of methods for solving parabolic equations
-
K. Al-Khaled, D. Kaya, and M.A. Noor Numerical comparison of methods for solving parabolic equations Appl Math Comput 157 2004 735 743
-
(2004)
Appl Math Comput
, vol.157
, pp. 735-743
-
-
Al-Khaled, K.1
Kaya, D.2
Noor, M.A.3
-
15
-
-
0000395259
-
Decomposition method: A new proof of convergence
-
Y. Cherruault, and G. Adomian Decomposition method: a new proof of convergence Mathl Comput Modelling 18 1993 103 106
-
(1993)
Mathl Comput Modelling
, vol.18
, pp. 103-106
-
-
Cherruault, Y.1
Adomian, G.2
-
16
-
-
0038374494
-
A note on the decomposition method for operator equations
-
M.A. Golberg A note on the decomposition method for operator equations Appl Math Comput 106 1999 215 220
-
(1999)
Appl Math Comput
, vol.106
, pp. 215-220
-
-
Golberg, M.A.1
-
18
-
-
0021500393
-
A convenient computation form for the Adomian polynomials
-
R. Rach A convenient computation form for the Adomian polynomials J Math Anal Appl 102 1984 415 419
-
(1984)
J Math Anal Appl
, vol.102
, pp. 415-419
-
-
Rach, R.1
-
19
-
-
4944232599
-
An algorithm for Adomian decomposition method
-
W. Chen, and Z. Lu 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
-
20
-
-
0042012869
-
Symbolic implementation of the algorithm for calculating Adomian polynomials
-
H.-W. Choi, and J.-G. Shin Symbolic implementation of the algorithm for calculating Adomian polynomials Appl Math Comput 146 2003 257 271
-
(2003)
Appl Math Comput
, vol.146
, pp. 257-271
-
-
Choi, H.-W.1
Shin, J.-G.2
-
21
-
-
0347450513
-
A new algorithm for calculating Adomian polynomials for nonlinear operators
-
A.M. Wazwaz A new algorithm for calculating Adomian polynomials for nonlinear operators Appl Math Comput 111 2000 53 69
-
(2000)
Appl Math Comput
, vol.111
, pp. 53-69
-
-
Wazwaz, A.M.1
-
22
-
-
18144403610
-
Solving the mathematical models of neuroscience and medicine
-
G. Adomian Solving the mathematical models of neuroscience and medicine Math Comput Simul 40 1995 107 114
-
(1995)
Math Comput Simul
, vol.40
, pp. 107-114
-
-
Adomian, G.1
-
23
-
-
0002133460
-
Practical formulae for the calculus of multivariable Adomian polynomials
-
K. Abbaoui, Y. Cherruault, and V. Seng Practical formulae for the calculus of multivariable Adomian polynomials Math Comput Model 22 1995 89 93
-
(1995)
Math Comput Model
, vol.22
, pp. 89-93
-
-
Abbaoui, K.1
Cherruault, Y.2
Seng, V.3
-
26
-
-
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
-
27
-
-
0002588102
-
Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
-
A. Repaci Nonlinear dynamical systems: on the accuracy of Adomian's decomposition method Appl Math Lett 3 1990 35 39
-
(1990)
Appl Math Lett
, vol.3
, pp. 35-39
-
-
Repaci, A.1
-
28
-
-
0035148098
-
Adomian's method for Hammerstein integral equations arising from chemical reactor theory
-
N.M. Madbouly, D.F. McGhee, and G.F. Roach Adomian's method for Hammerstein integral equations arising from chemical reactor theory Appl Math Comput 117 2001 241 249
-
(2001)
Appl Math Comput
, vol.117
, pp. 241-249
-
-
Madbouly, N.M.1
McGhee, D.F.2
Roach, G.F.3
-
29
-
-
0013154297
-
New results for convergence of Adomian's method applied to integral equations
-
Y. Cherruault, G. Saccomandi, and B. Some New results for convergence of Adomian's method applied to integral equations Math Comput Model 16 1992 85 93
-
(1992)
Math Comput Model
, vol.16
, pp. 85-93
-
-
Cherruault, Y.1
Saccomandi, G.2
Some, B.3
-
30
-
-
43949159125
-
Convergence of Adomian's method applied to differential equations
-
K. Abbaoui, and Y. Cherruault Convergence of Adomian's method applied to differential equations Comput Math Appl 28 1994 103 109
-
(1994)
Comput Math Appl
, vol.28
, pp. 103-109
-
-
Abbaoui, K.1
Cherruault, Y.2
-
31
-
-
0000487641
-
New ideas for proving convergence of decomposition methods
-
K. Abbaoui, and Y. Cherruault New ideas for proving convergence of decomposition methods Comput Math Appl 29 1995 103 108
-
(1995)
Comput Math Appl
, vol.29
, pp. 103-108
-
-
Abbaoui, K.1
Cherruault, Y.2
-
32
-
-
0002095007
-
Noise terms in decomposition solution series
-
G. Adomian, and R. Rach Noise terms in decomposition solution series Comput Math Appl 24 1992 61 64
-
(1992)
Comput Math Appl
, vol.24
, pp. 61-64
-
-
Adomian, G.1
Rach, R.2
-
33
-
-
23644437348
-
Necessary conditions for the appearance of noise terms in decomposition solution series
-
A.M. Wazwaz 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
-
35
-
-
36149035279
-
On a Toda lattice model with a transversal degree of freedom
-
P.L. Christiansen, P.S. Lomdahl, and V. Muto On a Toda lattice model with a transversal degree of freedom Nonlinearity 4 1990 477 501
-
(1990)
Nonlinearity
, vol.4
, pp. 477-501
-
-
Christiansen, P.L.1
Lomdahl, P.S.2
Muto, V.3
-
39
-
-
0004564892
-
Observations of solitons on nonlinear dispersive transmission lines
-
K.E. Longren A. Scott Academic New York
-
K.E. Longren Observations of solitons on nonlinear dispersive transmission lines K.E. Longren A. Scott Solitons in action 1978 Academic New York 127 152
-
(1978)
Solitons in Action
, pp. 127-152
-
-
Longren, K.E.1
-
40
-
-
0001666488
-
Solution of coupled nonlinear partial differential equations by decomposition
-
G. Adomian Solution of coupled nonlinear partial differential equations by decomposition Comput Math Appl 31 1996 117 120
-
(1996)
Comput Math Appl
, vol.31
, pp. 117-120
-
-
Adomian, G.1
-
41
-
-
38249007856
-
Generalisation of Adomian polynomials to functions of several variables
-
G. Adomian, and R. Rach Generalisation of Adomian polynomials to functions of several variables Comput Math Appl 24 1992 11 24
-
(1992)
Comput Math Appl
, vol.24
, pp. 11-24
-
-
Adomian, G.1
Rach, R.2
-
42
-
-
0011318855
-
Solitary wave solutions in a diatomic lattice
-
A. Bishop T. Schneider Springer Berlin
-
H. Buttner, and H. Bilz Solitary wave solutions in a diatomic lattice A. Bishop T. Schneider Solutions and condensed matter physics 1978 Springer Berlin 162 165
-
(1978)
Solutions and Condensed Matter Physics
, pp. 162-165
-
-
Buttner, H.1
Bilz, H.2
-
43
-
-
0041185368
-
A review of the decomposition method in applied mathematics
-
G. Adomian A review of the decomposition method in applied mathematics J Math Anal Appl 35 1988 501 544
-
(1988)
J Math Anal Appl
, vol.35
, pp. 501-544
-
-
Adomian, G.1
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