-
3
-
-
2542493856
-
Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents
-
Bozkhov Y., Martins A.C.G. Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents. Nonlinear Anal. 2004, 57:773-793.
-
(2004)
Nonlinear Anal.
, vol.57
, pp. 773-793
-
-
Bozkhov, Y.1
Martins, A.C.G.2
-
4
-
-
43449087611
-
First integrals and bifurcations of a Lane-Emden equation of the second-kind
-
Harley C., Momoniat E. First integrals and bifurcations of a Lane-Emden equation of the second-kind. J. Math. Anal. Appl. 2008, 344:757-764.
-
(2008)
J. Math. Anal. Appl.
, vol.344
, pp. 757-764
-
-
Harley, C.1
Momoniat, E.2
-
5
-
-
0001474744
-
On the solution of the Poisson-Boltzmann equation with application to the theory of thermal explosions
-
Chambré P.L. On the solution of the Poisson-Boltzmann equation with application to the theory of thermal explosions. J. Chem. Phys. 1952, 20:1795-1797.
-
(1952)
J. Chem. Phys.
, vol.20
, pp. 1795-1797
-
-
Chambré, P.L.1
-
6
-
-
34250172096
-
Steady state solutions for a thermal explosion in a cylindrical vessel
-
Harley C., Momoniat E. Steady state solutions for a thermal explosion in a cylindrical vessel. Modern Phys. Lett. B 2007, 21:831-842.
-
(2007)
Modern Phys. Lett. B
, vol.21
, pp. 831-842
-
-
Harley, C.1
Momoniat, E.2
-
7
-
-
0016484851
-
Numerical methods for singular boundary value problems
-
Russell R.D., Shampine L.F. Numerical methods for singular boundary value problems. SIAM J. Numer. Anal. 1975, 12:13-36.
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, pp. 13-36
-
-
Russell, R.D.1
Shampine, L.F.2
-
8
-
-
0030268014
-
Critical values for some non-class a geometries in thermal ignition theory
-
Balakrishnan E., Swift A., Wake G.C. Critical values for some non-class a geometries in thermal ignition theory. Math. Comput. Modelling 1996, 24:l-10.
-
(1996)
Math. Comput. Modelling
, vol.24
-
-
Balakrishnan, E.1
Swift, A.2
Wake, G.C.3
-
9
-
-
40849113611
-
Instability of invariant boundary conditions of a generalized Lane-Emden equation of the second-kind
-
Harley C., Momoniat E. Instability of invariant boundary conditions of a generalized Lane-Emden equation of the second-kind. Appl. Math. Comput. 2008, 198:621-633.
-
(2008)
Appl. Math. Comput.
, vol.198
, pp. 621-633
-
-
Harley, C.1
Momoniat, E.2
-
10
-
-
51149120639
-
Alternate derivation of the critical value of the Frank-Kamenetskii parameter in cylindrical geometry
-
Harley C., Momoniat E. Alternate derivation of the critical value of the Frank-Kamenetskii parameter in cylindrical geometry. J. Nonlinear Math. Phys. 2008, 15:69-76.
-
(2008)
J. Nonlinear Math. Phys.
, vol.15
, pp. 69-76
-
-
Harley, C.1
Momoniat, E.2
-
11
-
-
1142304425
-
Piecewise quasilinearization techniques for singular boundary-value problems
-
Ramos J.I. Piecewise quasilinearization techniques for singular boundary-value problems. Comput. Phys. Comm. 2004, 158:12-25.
-
(2004)
Comput. Phys. Comm.
, vol.158
, pp. 12-25
-
-
Ramos, J.I.1
-
17
-
-
21144474137
-
Nonperturbative approximate solution for Lane-Emden equation
-
Shawagfeh N.T. Nonperturbative approximate solution for Lane-Emden equation. J. Math. Phys. 1993, 34:4364-4369.
-
(1993)
J. Math. Phys.
, vol.34
, pp. 4364-4369
-
-
Shawagfeh, N.T.1
-
18
-
-
1842864972
-
Accelerated power series solution of polytropic and isothermal gas spheres
-
Nouh M.I. Accelerated power series solution of polytropic and isothermal gas spheres. New Astron. 2004, 9:467-473.
-
(2004)
New Astron.
, vol.9
, pp. 467-473
-
-
Nouh, M.I.1
-
19
-
-
66149179365
-
Approximate analytical solutions of the Lane-Emden equation for a self-gravitating isothermal gas sphere
-
Mirza B.M. Approximate analytical solutions of the Lane-Emden equation for a self-gravitating isothermal gas sphere. Mon. Not. R. Astron. Soc. 2009, 395:2288-2291.
-
(2009)
Mon. Not. R. Astron. Soc.
, vol.395
, pp. 2288-2291
-
-
Mirza, B.M.1
-
20
-
-
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. 2001, 118:287-310.
-
(2001)
Appl. Math. Comput.
, vol.118
, pp. 287-310
-
-
Wazwaz, A.M.1
-
21
-
-
0037052586
-
A new method for solving singular initial value problems in the second-order ordinary differential equations
-
Wazwaz A.M. A new method for solving singular initial value problems in the second-order ordinary differential equations. Appl. Math. Comput. 2002, 128:45-57.
-
(2002)
Appl. Math. Comput.
, vol.128
, pp. 45-57
-
-
Wazwaz, A.M.1
-
22
-
-
10044247479
-
Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
-
Wazwaz A.M. Adomian decomposition method for a reliable treatment of the Emden-Fowler equation. Appl. Math. Comput. 2005, 161:543-560.
-
(2005)
Appl. Math. Comput.
, vol.161
, pp. 543-560
-
-
Wazwaz, A.M.1
-
23
-
-
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. 2006, 173:165-176.
-
(2006)
Appl. Math. Comput.
, vol.173
, pp. 165-176
-
-
Wazwaz, A.M.1
-
24
-
-
47749116910
-
Further developments to the decomposition method for solving singular initial-value problems
-
Aslanov A., Abu-Alshaikhb I. Further developments to the decomposition method for solving singular initial-value problems. Math. Comput. Modelling 2008, 48:700-711.
-
(2008)
Math. Comput. Modelling
, vol.48
, pp. 700-711
-
-
Aslanov, A.1
Abu-Alshaikhb, I.2
-
25
-
-
0037542776
-
A new analytic algorithm of Lane-Emden type equations
-
Liao S. A new analytic algorithm of Lane-Emden type equations. Appl. Math. Comput. 2003, 142:1-16.
-
(2003)
Appl. Math. Comput.
, vol.142
, pp. 1-16
-
-
Liao, S.1
-
26
-
-
50349099602
-
Solutions of Emden-Fowler equations by homotopy-perturbation method
-
Chowdhury M.S.H., Hashim I. Solutions of Emden-Fowler equations by homotopy-perturbation method. Nonlinear Anal. RWA 2009, 10:104-115.
-
(2009)
Nonlinear Anal. RWA
, vol.10
, pp. 104-115
-
-
Chowdhury, M.S.H.1
Hashim, I.2
-
27
-
-
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 Solitons Fractals 2008, 38:400-408.
-
(2008)
Chaos Solitons Fractals
, vol.38
, pp. 400-408
-
-
Ramos, J.I.1
-
28
-
-
0038182679
-
Variational approach to the Lane-Emden equation
-
He J.-H. Variational approach to the Lane-Emden equation. Appl. Math. Comput. 2003, 143:539-541.
-
(2003)
Appl. Math. Comput.
, vol.143
, pp. 539-541
-
-
He, J.-H.1
-
29
-
-
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. 2006, 181:1417-1422.
-
(2006)
Appl. Math. Comput.
, vol.181
, pp. 1417-1422
-
-
Yousefi, S.A.1
-
30
-
-
34548509029
-
Approximate solution of a differential equation arising in astrophysics using the variational iteration method
-
Dehghan M., Shakeri F. Approximate solution of a differential equation arising in astrophysics using the variational iteration method. New Astron. 2008, 13:53-59.
-
(2008)
New Astron.
, vol.13
, pp. 53-59
-
-
Dehghan, M.1
Shakeri, F.2
-
31
-
-
59049085436
-
Solutions of singular IVPs of Lane-Emden type by the variational iteration method
-
Yildirim A., Öziş T. Solutions of singular IVPs of Lane-Emden type by the variational iteration method. Nonlinear Anal. 2009, 70:2480-2484.
-
(2009)
Nonlinear Anal.
, vol.70
, pp. 2480-2484
-
-
Yildirim, A.1
Öziş, T.2
-
32
-
-
39549107892
-
Differential transformation method for solving differential equations of Lane-Emden type
-
Ertürk V.S. Differential transformation method for solving differential equations of Lane-Emden type. Math. Comput. Appl. 2007, 12:135-139.
-
(2007)
Math. Comput. Appl.
, vol.12
, pp. 135-139
-
-
Ertürk, V.S.1
-
33
-
-
50349103358
-
Analytic and numerical solutions to the Lane-Emden equation
-
van Gorder R.A., Vajravelu K. Analytic and numerical solutions to the Lane-Emden equation. Phys. Lett. A 2008, 372:6060-6065.
-
(2008)
Phys. Lett. A
, vol.372
, pp. 6060-6065
-
-
van Gorder, R.A.1
Vajravelu, K.2
-
34
-
-
77950189652
-
On the numerical solution of differential equations of Lane-Emden type
-
Vanani S.K., Aminataei A. On the numerical solution of differential equations of Lane-Emden type. Comput. Math. Appl. 2010, 59:2815-2820.
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 2815-2820
-
-
Vanani, S.K.1
Aminataei, A.2
-
35
-
-
70349807582
-
Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
-
Parand K., Shahini M., Dehghan M. Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type. J. Comput. Phys. 2009, 228:8830-8840.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 8830-8840
-
-
Parand, K.1
Shahini, M.2
Dehghan, M.3
-
36
-
-
77950626787
-
An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
-
Parand K., Dehghan M., Rezaei A.R., Ghaderi S.M. An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method. Comput. Phys. Comm. 2010, 181:1096-1108.
-
(2010)
Comput. Phys. Comm.
, vol.181
, pp. 1096-1108
-
-
Parand, K.1
Dehghan, M.2
Rezaei, A.R.3
Ghaderi, S.M.4
-
37
-
-
33645967145
-
Approximate implicit solution of a Lane-Emden equation
-
Momoniat E., Harley C. Approximate implicit solution of a Lane-Emden equation. New Astron. 2006, 11:520-526.
-
(2006)
New Astron.
, vol.11
, pp. 520-526
-
-
Momoniat, E.1
Harley, C.2
-
38
-
-
49949092325
-
Lagrangian formulation of a generalized Lane-Emden equation and double reduction
-
Khalique C.M., Mahomed F.M., Muatjetjeja B. Lagrangian formulation of a generalized Lane-Emden equation and double reduction. J. Nonlinear Math. Phys. 2008, 15:152-161.
-
(2008)
J. Nonlinear Math. Phys.
, vol.15
, pp. 152-161
-
-
Khalique, C.M.1
Mahomed, F.M.2
Muatjetjeja, B.3
-
39
-
-
41749083961
-
Exact solutions of the Lane-Emden-type equation
-
Khalique C.M., Ntsime P. Exact solutions of the Lane-Emden-type equation. New Astron. 2008, 13:476-480.
-
(2008)
New Astron.
, vol.13
, pp. 476-480
-
-
Khalique, C.M.1
Ntsime, P.2
-
40
-
-
0043237842
-
Series solutions for polytropes and the isothermal sphere
-
Hunter C. Series solutions for polytropes and the isothermal sphere. Mon. Not. R. Astron. Soc. 2001, 328:839-847.
-
(2001)
Mon. Not. R. Astron. Soc.
, vol.328
, pp. 839-847
-
-
Hunter, C.1
-
41
-
-
54049143347
-
A generalization of Lane-Emden equation
-
Aslanov A. A generalization of Lane-Emden equation. Int. J. Comput. Math. 2008, 85:1709-1725.
-
(2008)
Int. J. Comput. Math.
, vol.85
, pp. 1709-1725
-
-
Aslanov, A.1
-
42
-
-
67651176132
-
Approximate solutions of Emden-Fowler type equations
-
Aslanov A. Approximate solutions of Emden-Fowler type equations. Int. J. Comput. Math. 2009, 86:807-826.
-
(2009)
Int. J. Comput. Math.
, vol.86
, pp. 807-826
-
-
Aslanov, A.1
-
43
-
-
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 2008, 372:3555-3561.
-
(2008)
Phys. Lett. A
, vol.372
, pp. 3555-3561
-
-
Aslanov, A.1
-
44
-
-
0007192840
-
Phase-plane analysis of nonlinear, second-order, ordinary differential equations
-
Dresner L. Phase-plane analysis of nonlinear, second-order, ordinary differential equations. J. Math. Phys. 1971, 12:1339-1348.
-
(1971)
J. Math. Phys.
, vol.12
, pp. 1339-1348
-
-
Dresner, L.1
|