-
1
-
-
38249017453
-
Computational aspects of pseudospectral Laguerre approximations
-
Funaro D. Computational aspects of pseudospectral Laguerre approximations. Appl. Numer. Math. 6 (1990) 447-457
-
(1990)
Appl. Numer. Math.
, vol.6
, pp. 447-457
-
-
Funaro, D.1
-
2
-
-
84966205570
-
Approximation of some diffusion evolution equations in unbounded domains by Hermite function
-
Funaro D., and Kavian O. Approximation of some diffusion evolution equations in unbounded domains by Hermite function. Math. Comput. 57 (1990) 597-619
-
(1990)
Math. Comput.
, vol.57
, pp. 597-619
-
-
Funaro, D.1
Kavian, O.2
-
3
-
-
0040633278
-
Error estimation of Hermite spectral method for nonlinear partial differential equations
-
Guo B.Y. Error estimation of Hermite spectral method for nonlinear partial differential equations. Math. Comput. 68 (1999) 1067-1078
-
(1999)
Math. Comput.
, vol.68
, pp. 1067-1078
-
-
Guo, B.Y.1
-
4
-
-
0034369460
-
Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
-
Guo B.Y., and Shen J. Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Numer. Math. 86 (2000) 635-654
-
(2000)
Numer. Math.
, vol.86
, pp. 635-654
-
-
Guo, B.Y.1
Shen, J.2
-
6
-
-
0034432262
-
Stable and efficient spectral methods in unbounded domains using Laguerre functions
-
Shen J. Stable and efficient spectral methods in unbounded domains using Laguerre functions. SIAM J. Numer. Anal. 38 (2000) 1113-1133
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 1113-1133
-
-
Shen, J.1
-
7
-
-
0345734982
-
Laguerre Tau methods for solving higher order ordinary differential equations
-
Siyyam H.I. Laguerre Tau methods for solving higher order ordinary differential equations. J. Comput. Anal. Appl. 3 (2001) 173-182
-
(2001)
J. Comput. Anal. Appl.
, vol.3
, pp. 173-182
-
-
Siyyam, H.I.1
-
8
-
-
0000587852
-
Gegenbauer approximation and its applications to differential equations on the whole line
-
Guo B.Y. Gegenbauer approximation and its applications to differential equations on the whole line. J. Math. Anal. Appl. 226 (1998) 180-206
-
(1998)
J. Math. Anal. Appl.
, vol.226
, pp. 180-206
-
-
Guo, B.Y.1
-
9
-
-
0002665809
-
Jacobi spectral approximation and its applications to differential equations on the half line
-
Guo B.Y. Jacobi spectral approximation and its applications to differential equations on the half line. J. Comput. Math. 18 (2000) 95-112
-
(2000)
J. Comput. Math.
, vol.18
, pp. 95-112
-
-
Guo, B.Y.1
-
10
-
-
0034652883
-
Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations
-
Guo B.Y. Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations. J. Math. Anal. Appl. 243 (2000) 373-408
-
(2000)
J. Math. Anal. Appl.
, vol.243
, pp. 373-408
-
-
Guo, B.Y.1
-
13
-
-
0001718791
-
Spectral methods using rational basis functions on an infinite interval
-
Boyd J.P. Spectral methods using rational basis functions on an infinite interval. J. Comput. Phys. 69 (1987) 112-142
-
(1987)
J. Comput. Phys.
, vol.69
, pp. 112-142
-
-
Boyd, J.P.1
-
14
-
-
0002717130
-
Orthogonal rational functions on a semi-infinite interval
-
Boyd J.P. Orthogonal rational functions on a semi-infinite interval. J. Comput. Phys. 70 (1987) 63-88
-
(1987)
J. Comput. Phys.
, vol.70
, pp. 63-88
-
-
Boyd, J.P.1
-
15
-
-
0034197003
-
A rational approximation and its applications to differential equations on the half line
-
Guo B.Y., Shen J., and Wang Z.Q. A rational approximation and its applications to differential equations on the half line. J. Sci. Comput. 15 (2000) 117-147
-
(2000)
J. Sci. Comput.
, vol.15
, pp. 117-147
-
-
Guo, B.Y.1
Shen, J.2
Wang, Z.Q.3
-
16
-
-
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
-
Boyd J.P., Rangan C., and Bucksbaum P.H. 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 (2003) 56-74
-
(2003)
J. Comput. Phys.
, vol.188
, pp. 56-74
-
-
Boyd, J.P.1
Rangan, C.2
Bucksbaum, P.H.3
-
17
-
-
85189839898
-
-
press,/doi:10.1002/cnm.1319
-
M. Dehghan, F. Fakhar-Izadi, Pseudospectral methods for Nagumo equation, Commun. Numer. Meth. Eng, (2009), in press,/doi:10.1002/cnm.1319.
-
Pseudospectral methods for Nagumo equation, Commun. Numer. Meth. Eng
-
-
Dehghan, M.1
Fakhar-Izadi, F.2
-
18
-
-
0347758632
-
Rational Chebyshev Tau method for solving Volterra's population model
-
Parand K., and Razzaghi M. Rational Chebyshev Tau method for solving Volterra's population model. Appl. Math. Comput. 149 (2004) 893-900
-
(2004)
Appl. Math. Comput.
, vol.149
, pp. 893-900
-
-
Parand, K.1
Razzaghi, M.2
-
19
-
-
57549098784
-
Rational Chebyshev Tau method for solving higher-order ordinary differential equations
-
Parand K., and Razzaghi M. Rational Chebyshev Tau method for solving higher-order ordinary differential equations. Int. J. Comput. Math. 81 (2004) 73-80
-
(2004)
Int. J. Comput. Math.
, vol.81
, pp. 73-80
-
-
Parand, K.1
Razzaghi, M.2
-
20
-
-
2442639373
-
Rational Legendre approximation for solving some physical problems on semi-infinite intervals
-
Parand K., and Razzaghi M. 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
-
21
-
-
33846930099
-
A Tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification
-
Dehghan M., and Saadatmandi A. A Tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification. Comput. Math. Appl. 52 (2006) 933-940
-
(2006)
Comput. Math. Appl.
, vol.52
, pp. 933-940
-
-
Dehghan, M.1
Saadatmandi, A.2
-
22
-
-
33847786088
-
Numerical solution of the one-dimensional wave equation with an integral condition
-
Saadatmandi A., and Dehghan M. Numerical solution of the one-dimensional wave equation with an integral condition. Numer. Meth. Partial Diff. Eqn. 23 (2007) 282-292
-
(2007)
Numer. Meth. Partial Diff. Eqn.
, vol.23
, pp. 282-292
-
-
Saadatmandi, A.1
Dehghan, M.2
-
23
-
-
57749203983
-
Numerical solution of a mathematical model for capillary formation in tumor angiogenesis via the tau method
-
Saadatmandi A., and Dehghan M. Numerical solution of a mathematical model for capillary formation in tumor angiogenesis via the tau method. Commun. Numer. Meth. Eng. 24 (2008) 1467-1474
-
(2008)
Commun. Numer. Meth. Eng.
, vol.24
, pp. 1467-1474
-
-
Saadatmandi, A.1
Dehghan, M.2
-
28
-
-
21144474137
-
Nonperturbative approximate solution for Lane-Emden equation
-
Shawagfeh N.T. Nonperturbative approximate solution for Lane-Emden equation. J. Math. Phys. 34 (1993) 4364-4369
-
(1993)
J. Math. Phys.
, vol.34
, pp. 4364-4369
-
-
Shawagfeh, N.T.1
-
29
-
-
58149464172
-
The solution of linear and nonlinear systems of Volterra functional equations using Adomian-Pade technique
-
Dehghan M., Shakourifar M., and Hamidi A. The solution of linear and nonlinear systems of Volterra functional equations using Adomian-Pade technique. Chaos Solitons and Fract. 39 (2009) 2509-2521
-
(2009)
Chaos Solitons and Fract.
, vol.39
, pp. 2509-2521
-
-
Dehghan, M.1
Shakourifar, M.2
Hamidi, A.3
-
30
-
-
0035976505
-
Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
-
Mandelzweig V.B., and Tabakin F. Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs. Comput. Phys. Commun. 141 (2001) 268-281
-
(2001)
Comput. Phys. Commun.
, vol.141
, pp. 268-281
-
-
Mandelzweig, V.B.1
Tabakin, F.2
-
31
-
-
0040926145
-
A new algorithm for solving differential equations of Lane-Emden type
-
Wazwaz A.M. A new algorithm for solving differential equations of Lane-Emden type. Appl. Math. Comput. 118 (2001) 287-310
-
(2001)
Appl. Math. Comput.
, vol.118
, pp. 287-310
-
-
Wazwaz, A.M.1
-
32
-
-
58149468214
-
The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
-
Dehghan M., and Shakeri F. The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics. Phys. Scr. 78 (2008) 1-11
-
(2008)
Phys. Scr.
, vol.78
, pp. 1-11
-
-
Dehghan, M.1
Shakeri, F.2
-
33
-
-
32144452761
-
The modified decomposition method for analytic treatment of differential equations
-
Wazwaz A.M. The modified decomposition method for analytic treatment of differential equations. Appl. Math. Comput. 173 (2006) 165-176
-
(2006)
Appl. Math. Comput.
, vol.173
, pp. 165-176
-
-
Wazwaz, A.M.1
-
34
-
-
0037542776
-
A new analytic algorithm of Lane-Emden type equations
-
Liao S. 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
-
35
-
-
0038182679
-
Variational approach to the Lane-Emden equation
-
He J.H. Variational approach to the Lane-Emden equation. Appl. Math. Comput. 143 (2003) 539-541
-
(2003)
Appl. Math. Comput.
, vol.143
, pp. 539-541
-
-
He, J.H.1
-
36
-
-
10044270006
-
Linearization techniques for singular initial-value problems of ordinary differential equations
-
Ramos J.I. Linearization techniques for singular initial-value problems of ordinary differential equations. Appl. Math. Comput. 161 (2005) 525-542
-
(2005)
Appl. Math. Comput.
, vol.161
, pp. 525-542
-
-
Ramos, J.I.1
-
37
-
-
65149092716
-
Piecewise-adaptive decomposition methods
-
10.1016/j.chaos.2007.09.043
-
Ramos J.I. Piecewise-adaptive decomposition methods. Chaos Soliton Fract. (2007) 10.1016/j.chaos.2007.09.043
-
(2007)
Chaos Soliton Fract.
-
-
Ramos, J.I.1
-
38
-
-
43049098279
-
Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method
-
Ramos J.I. Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method. Chaos Soliton Fract. 38 (2008) 400-408
-
(2008)
Chaos Soliton Fract.
, vol.38
, pp. 400-408
-
-
Ramos, J.I.1
-
39
-
-
33750454785
-
Legendre wavelets method for solving differential equations of Lane-Emden type
-
Yousefi S.A. Legendre wavelets method for solving differential equations of Lane-Emden type. Appl. Math. Comput. 181 (2006) 1417-1422
-
(2006)
Appl. Math. Comput.
, vol.181
, pp. 1417-1422
-
-
Yousefi, S.A.1
-
40
-
-
50349099602
-
Solutions of Emden-Fowler equations by homotopy-perturbation method
-
10.1016/j.nonrwa.2007.08.017
-
Chowdhury M.S.H., and Hashim I. Solutions of Emden-Fowler equations by homotopy-perturbation method. Nonlinear Anal. Real (2007) 10.1016/j.nonrwa.2007.08.017
-
(2007)
Nonlinear Anal. Real
-
-
Chowdhury, M.S.H.1
Hashim, I.2
-
41
-
-
46749125042
-
Use of He's homotpy perturbation method for solving a partial differential equation arising in modeling of flow in porous media
-
Dehghan M., and Shakeri F. Use of He's homotpy perturbation method for solving a partial differential equation arising in modeling of flow in porous media. J. Porous Media 11 (2008) 765-778
-
(2008)
J. Porous Media
, vol.11
, pp. 765-778
-
-
Dehghan, M.1
Shakeri, F.2
-
42
-
-
43049103009
-
Determination of convergence intervals of the series solutions of Emden-Fowler equations using polytropes and isothermal spheres
-
Aslanov A. Determination of convergence intervals of the series solutions of Emden-Fowler equations using polytropes and isothermal spheres. Phys. Lett. A 372 (2008) 3555-3561
-
(2008)
Phys. Lett. A
, vol.372
, pp. 3555-3561
-
-
Aslanov, A.1
-
43
-
-
34548509029
-
Approximate solution of a differential equation arising in astrophysics using the variational iteration method
-
Dehghan M., and Shakeri F. Approximate solution of a differential equation arising in astrophysics using the variational iteration method. New Astron. 13 (2008) 53-59
-
(2008)
New Astron.
, vol.13
, pp. 53-59
-
-
Dehghan, M.1
Shakeri, F.2
-
45
-
-
0002707624
-
The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
-
Boyd J.P. 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
-
46
-
-
0003766476
-
-
Springer-Verlag, New York
-
Canuto C., Hussaini M.Y., Quarteroni A., and Zang T.A. Spectral Methods in Fluid Dynamic (1987), Springer-Verlag, New York
-
(1987)
Spectral Methods in Fluid Dynamic
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
47
-
-
0002627298
-
-
Voigt R., Gottlieb D., and Hussaini M.Y. (Eds), SIAM, Philadelphia
-
Gottlieb D., Hussaini M.Y., and Orszag S. Theory and Applications of Spectral Methods in Spectral Methods for Partial Differential Equations. In: Voigt R., Gottlieb D., and Hussaini M.Y. (Eds) (1984), SIAM, Philadelphia
-
(1984)
Theory and Applications of Spectral Methods in Spectral Methods for Partial Differential Equations
-
-
Gottlieb, D.1
Hussaini, M.Y.2
Orszag, S.3
|