-
1
-
-
0034369460
-
LaguerreGalerkin method for nonlinear partial differential equations on a semi-infinite interval
-
B.Y. Guo, and J. Shen LaguerreGalerkin method for nonlinear partial differential equations on a semi-infinite interval Numer. Math. 86 4 2000 635 654
-
(2000)
Numer. Math.
, vol.86
, Issue.4
, pp. 635-654
-
-
Guo, B.Y.1
Shen, J.2
-
2
-
-
15044355275
-
Generalized Laguerre approximation and its applications to exterior problems
-
B.Y. Guo, J. Shen, and C.L. Xu Generalized Laguerre approximation and its applications to exterior problems J. Comp. Math. 23 2005 113 130
-
(2005)
J. Comp. Math.
, vol.23
, pp. 113-130
-
-
Guo, B.Y.1
Shen, J.2
Xu, C.L.3
-
3
-
-
0034432262
-
Stable and efficient spectral methods in unbounded domains using Laguerre functions
-
J. Shen Stable and efficient spectral methods in unbounded domains using Laguerre functions SIAM J. Numer. Anal. 38 4 2000 1113 1133
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, Issue.4
, pp. 1113-1133
-
-
Shen, J.1
-
4
-
-
0345734982
-
Laguerre tau methods for solving higher order ordinary differential equations
-
H.I. Siyyam Laguerre tau methods for solving higher order ordinary differential equations J. Comput. Anal. Appl. 3 2 2001 173 182
-
(2001)
J. Comput. Anal. Appl.
, vol.3
, Issue.2
, pp. 173-182
-
-
Siyyam, H.I.1
-
6
-
-
0002665809
-
Jacobi spectral approximation and its applications to differential equations on the half line
-
B.Y. Guo Jacobi spectral approximation and its applications to differential equations on the half line J. Comput. Math. 18 1 2000 95 112
-
(2000)
J. Comput. Math.
, vol.18
, Issue.1
, pp. 95-112
-
-
Guo, B.Y.1
-
8
-
-
0002717130
-
Orthogonal rational functions on a semi-infinite interval
-
J.P. Boyd Orthogonal rational functions on a semi-infinite interval J. Comput. Phys. 70 1 1987 63 88
-
(1987)
J. Comput. Phys.
, vol.70
, Issue.1
, pp. 63-88
-
-
Boyd, J.P.1
-
9
-
-
0034197003
-
A rational approximation and its applications to differential equations on the half line
-
B.Y. Guo, J. Shen, and Z.Q. Wang A rational approximation and its applications to differential equations on the half line J. Sci. Comput. 15 2 2000 117 147
-
(2000)
J. Sci. Comput.
, vol.15
, Issue.2
, pp. 117-147
-
-
Guo, B.Y.1
Shen, J.2
Wang, Z.Q.3
-
10
-
-
0038346445
-
Pseudospectral methods on a semi-infinite interval with application to the Hydrogen atom: A comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansions
-
J.P. Boyd, C. Rangan, and P.H. Bucksbaum Pseudospectral methods on a semi-infinite interval with application to the Hydrogen atom: a comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansions J. Comput. Phys. 188 1 2003 56 74
-
(2003)
J. Comput. Phys.
, vol.188
, Issue.1
, pp. 56-74
-
-
Boyd, J.P.1
Rangan, C.2
Bucksbaum, P.H.3
-
11
-
-
2442639373
-
Rational Legendre approximation for solving some physical problems on semi-infinite intervals
-
K. Parand, and M. Razzaghi Rational Legendre approximation for solving some physical problems on semi-infinite intervals Phys. Scr. 69 2004 353 357
-
(2004)
Phys. Scr.
, vol.69
, pp. 353-357
-
-
Parand, K.1
Razzaghi, M.2
-
12
-
-
57549098784
-
Rational Chebyshev tau method for solving higher-order ordinary differential equations
-
K. Parand, and M. Razzaghi Rational Chebyshev tau method for solving higher-order ordinary differential equations Int. J. Comput. Math. 81 1 2004 73 80
-
(2004)
Int. J. Comput. Math.
, vol.81
, Issue.1
, pp. 73-80
-
-
Parand, K.1
Razzaghi, M.2
-
13
-
-
0347758632
-
Rational Chebyshev tau method for solving Volterra's population model
-
K. Parand, and M. Razzaghi Rational Chebyshev tau method for solving Volterra's population model Appl. Math. Comput. 149 3 2004 893 900
-
(2004)
Appl. Math. Comput.
, vol.149
, Issue.3
, pp. 893-900
-
-
Parand, K.1
Razzaghi, M.2
-
14
-
-
70349807582
-
Rational Legendre pseudospectral approach for solving nonlinear differential equations of LaneEmden type
-
K. Parand, M. Shahini, and M. Dehghan Rational Legendre pseudospectral approach for solving nonlinear differential equations of LaneEmden type J. Comput. Phys. 228 2009 8830 8840
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 8830-8840
-
-
Parand, K.1
Shahini, M.2
Dehghan, M.3
-
16
-
-
0141916942
-
-
Cambridge University Press Cambridge
-
W. Thomson Collected Papers 1991 Cambridge University Press Cambridge
-
(1991)
Collected Papers
-
-
Thomson, W.1
-
17
-
-
0003737969
-
-
Teubner Leipzig and Berlin
-
R. Emden Gaskugeln 1907 Teubner Leipzig and Berlin
-
(1907)
Gaskugeln
-
-
Emden, R.1
-
18
-
-
0000901190
-
A new perturbative approach to nonlinear problems
-
C.M. Bender, K.A. Milton, S.S. Pinsky, and L.M. Simmons Jr. A new perturbative approach to nonlinear problems J. Math. Phys. 30 7 1989 1447 1455
-
(1989)
J. Math. Phys.
, vol.30
, Issue.7
, pp. 1447-1455
-
-
Bender, C.M.1
Milton, K.A.2
Pinsky, S.S.3
Simmons Jr., L.M.4
-
20
-
-
35349026707
-
Solution and asymptotic/blow-up behaviour of a class of nonlinear dissipative systems
-
G. Bluman, A.F. Cheviakov, and M. Senthilvelan Solution and asymptotic/blow-up behaviour of a class of nonlinear dissipative systems J. Math. Anal. Appl. 339 2008 1199 1209
-
(2008)
J. Math. Anal. Appl.
, vol.339
, pp. 1199-1209
-
-
Bluman, G.1
Cheviakov, A.F.2
Senthilvelan, M.3
-
21
-
-
0035535124
-
Symmetry transformations for the generalized Lane-Emden equation
-
DOI 10.1023/A:1010255807935
-
H. Goenner Symmetry transformations for the generalized LaneEmden equation Gen. Rel. Grav. 33 5 2001 833 841 (Pubitemid 33382587)
-
(2001)
General Relativity and Gravitation
, vol.33
, Issue.5
, pp. 833-841
-
-
Goenner, H.1
-
22
-
-
0034345397
-
Exact solutions of the generalized LaneEmden equation
-
H. Goenner, and P. Havas Exact solutions of the generalized LaneEmden equation J. Math. Phys. 41 2000 7029 7042
-
(2000)
J. Math. Phys.
, vol.41
, pp. 7029-7042
-
-
Goenner, H.1
Havas, P.2
-
23
-
-
0035976505
-
Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
-
V.B. Mandelzweig, and F. Tabakin Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs Comput. Phys. Commun. 141 2 2001 268 281
-
(2001)
Comput. Phys. Commun.
, vol.141
, Issue.2
, pp. 268-281
-
-
Mandelzweig, V.B.1
Tabakin, F.2
-
24
-
-
21144474137
-
Nonperturbative approximate solution for LaneEmden equation
-
N.T. Shawagfeh Nonperturbative approximate solution for LaneEmden equation J. Math. Phys. 34 9 1993 4364 4369
-
(1993)
J. Math. Phys.
, vol.34
, Issue.9
, pp. 4364-4369
-
-
Shawagfeh, N.T.1
-
25
-
-
0040926145
-
A new algorithm for solving differential equations of LaneEmden type
-
A. Wazwaz A new algorithm for solving differential equations of LaneEmden type Appl. Math. Comput. 118 23 2001 287 310
-
(2001)
Appl. Math. Comput.
, vol.118
, Issue.23
, pp. 287-310
-
-
Wazwaz, A.1
-
26
-
-
32144452761
-
The modified decomposition method for analytic treatment of differential equations
-
A. Wazwaz The modified decomposition method for analytic treatment of differential equations Appl. Math. Comput. 173 1 2006 165 176
-
(2006)
Appl. Math. Comput.
, vol.173
, Issue.1
, pp. 165-176
-
-
Wazwaz, A.1
-
27
-
-
0037542776
-
A new analytic algorithm of LaneEmden type equations
-
S. Liao A new analytic algorithm of LaneEmden type equations Appl. Math. Comput. 142 1 2003 1 16
-
(2003)
Appl. Math. Comput.
, vol.142
, Issue.1
, pp. 1-16
-
-
Liao, S.1
-
28
-
-
0038182679
-
Variational approach to the LaneEmden equation
-
J.H. He Variational approach to the LaneEmden equation Appl. Math. Comput. 143 23 2003 539 541
-
(2003)
Appl. Math. Comput.
, vol.143
, Issue.23
, pp. 539-541
-
-
He, J.H.1
-
29
-
-
10044270006
-
Linearization techniques for singular initial-value problems of ordinary differential equations
-
J.I. Ramos Linearization techniques for singular initial-value problems of ordinary differential equations Appl. Math. Comput. 161 2 2005 525 542
-
(2005)
Appl. Math. Comput.
, vol.161
, Issue.2
, pp. 525-542
-
-
Ramos, J.I.1
-
30
-
-
65149092716
-
Piecewise-adaptive decomposition methods
-
J.I. Ramos Piecewise-adaptive decomposition methods Chaos Solit. Fract. 40 4 2007 1623 1636
-
(2007)
Chaos Solit. Fract.
, vol.40
, Issue.4
, pp. 1623-1636
-
-
Ramos, J.I.1
-
31
-
-
43049098279
-
Series approach to the LaneEmden equation and comparison with the homotopy perturbation method
-
J.I. Ramos Series approach to the LaneEmden equation and comparison with the homotopy perturbation method Chaos Solit. Fract. 38 2 2008 400 408
-
(2008)
Chaos Solit. Fract.
, vol.38
, Issue.2
, pp. 400-408
-
-
Ramos, J.I.1
-
32
-
-
0037799370
-
Linearization methods in classical and quantum mechanics
-
J.I. Ramos Linearization methods in classical and quantum mechanics Comput. Phys. Commun. 153 2 2003 199 208
-
(2003)
Comput. Phys. Commun.
, vol.153
, Issue.2
, pp. 199-208
-
-
Ramos, J.I.1
-
33
-
-
33750454785
-
Legendre wavelets method for solving differential equations of LaneEmden type
-
S.A. Yousefi Legendre wavelets method for solving differential equations of LaneEmden type Appl. Math. Comput. 181 2 2006 1417 1422
-
(2006)
Appl. Math. Comput.
, vol.181
, Issue.2
, pp. 1417-1422
-
-
Yousefi, S.A.1
-
34
-
-
50349099602
-
Solutions of EmdenFowler equations by homotopy perturbation method
-
M.S.H. Chowdhury, and I. Hashim Solutions of EmdenFowler equations by homotopy perturbation method Nonlinear. Anal. Real World Appl. 10 2007 104 115
-
(2007)
Nonlinear. Anal. Real World Appl.
, vol.10
, pp. 104-115
-
-
Chowdhury, M.S.H.1
Hashim, I.2
-
35
-
-
43049103009
-
Determination of convergence intervals of the series solutions of EmdenFowler equations using polytropes and isothermal spheres
-
A. Aslanov Determination of convergence intervals of the series solutions of EmdenFowler equations using polytropes and isothermal spheres Phys. Lett. A 372 20 2008 3541 3740
-
(2008)
Phys. Lett. A
, vol.372
, Issue.20
, pp. 3541-3740
-
-
Aslanov, A.1
-
36
-
-
34548509029
-
Approximate solution of a differential equation arising in astrophysics using the variational iteration method
-
M. Dehghan, and F. Shakeri Approximate solution of a differential equation arising in astrophysics using the variational iteration method N. Astron. 13 1 2008 53 59
-
(2008)
N. Astron.
, vol.13
, Issue.1
, pp. 53-59
-
-
Dehghan, M.1
Shakeri, F.2
-
37
-
-
59049085436
-
Solutions of singular IVPs of LaneEmden type by the variational iteration method
-
A. Yildirim, and T. zi Solutions of singular IVPs of LaneEmden type by the variational iteration method Nonlinear Anal. Ser. A. Theory Method Appl. 70 6 2009 2480 2484
-
(2009)
Nonlinear Anal. Ser. A. Theory Method Appl.
, vol.70
, Issue.6
, pp. 2480-2484
-
-
Yildirim, A.1
Zi, T.2
-
39
-
-
49549124481
-
Hybrid functions for nonlinear initial-value problems with applications to LaneEmden type equations
-
H.R. Marzban, H.R. Tabrizidooz, and M. Razzaghi Hybrid functions for nonlinear initial-value problems with applications to LaneEmden type equations Phys. Lett. A 372 37 2008 5883 5886
-
(2008)
Phys. Lett. A
, vol.372
, Issue.37
, pp. 5883-5886
-
-
Marzban, H.R.1
Tabrizidooz, H.R.2
Razzaghi, M.3
-
44
-
-
0002707624
-
The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
-
J.P. Boyd The optimization of convergence for Chebyshev polynomial methods in an unbounded domain J. Comput. Phys. 45 1982 43 79
-
(1982)
J. Comput. Phys.
, vol.45
, pp. 43-79
-
-
Boyd, J.P.1
|