-
1
-
-
0012835662
-
The proposed homotopy analysis technique for the solution of nonlinear problems, Ph.D. Thesis
-
1 S. J. Liao, The proposed homotopy analysis technique for the solution of nonlinear problems, Ph.D. Thesis, Shanghai Jiao Tong University, 1992.
-
(1992)
-
-
Liao, S.J.1
-
2
-
-
0032640240
-
A uniformly valid analytic solution of 2D viscous flow past a semi‐infinite flat plate
-
2 S. Liao, A uniformly valid analytic solution of 2D viscous flow past a semi‐infinite flat plate, J Fluid Mech 385 (1999), 101–128.
-
(1999)
J Fluid Mech
, vol.385
, pp. 101-128
-
-
Liao, S.1
-
3
-
-
0000494305
-
An explicit, totally analytic approximation of Blasius viscous flow problems
-
3 S. J. Liao, An explicit, totally analytic approximation of Blasius viscous flow problems, Int J Nonlinear Mech 34 (1999), 759–778.
-
(1999)
Int J Nonlinear Mech
, vol.34
, pp. 759-778
-
-
Liao, S.J.1
-
4
-
-
0042354097
-
On the analytic solution of magnetohydrodynamic flows of non‐Newtonian fluids over a stretching sheet
-
4 S. Liao, On the analytic solution of magnetohydrodynamic flows of non‐Newtonian fluids over a stretching sheet, J Fluid Mech 488 (2003), 189–212.
-
(2003)
J Fluid Mech
, vol.488
, pp. 189-212
-
-
Liao, S.1
-
5
-
-
9544235134
-
Beyond perturbation: introduction to the homotopy analysis method
-
5 S. J. Liao, Beyond perturbation: introduction to the homotopy analysis method, Chapman and Hall/CRC Press, Boca Raton, 2003.
-
(2003)
-
-
Liao, S.J.1
-
6
-
-
0141961626
-
On the homotopy analysis method for nonlinear problems
-
6 S. Liao, On the homotopy analysis method for nonlinear problems, Appl Math Comput 147 (2004), 499–513.
-
(2004)
Appl Math Comput
, vol.147
, pp. 499-513
-
-
Liao, S.1
-
7
-
-
25844456083
-
Comparison between the homotopy analysis method and homotopy perturbation method
-
7 S. J. Liao, Comparison between the homotopy analysis method and homotopy perturbation method, Appl Math Comput 169 (2005), 1186–1194.
-
(2005)
Appl Math Comput
, vol.169
, pp. 1186-1194
-
-
Liao, S.J.1
-
8
-
-
34548230554
-
Comparison between the HAM and HPM solutions of thin film flows of non‐Newtonian fluids on a moving belt
-
8 M. Sajid, T. Hayat, and S. Asghar, Comparison between the HAM and HPM solutions of thin film flows of non‐Newtonian fluids on a moving belt, Nonlinear Dyn 50 (2007), 27–35.
-
(2007)
Nonlinear Dyn
, vol.50
, pp. 27-35
-
-
Sajid, M.1
Hayat, T.2
Asghar, S.3
-
9
-
-
34249806325
-
Derivation of the Adomian decomposition method using the homotopy analysis method
-
9 F. M. Allan, Derivation of the Adomian decomposition method using the homotopy analysis method, Appl Math Comput 190 (2007), 6–14.
-
(2007)
Appl Math Comput
, vol.190
, pp. 6-14
-
-
Allan, F.M.1
-
10
-
-
35148885374
-
On analytic solution for generalized three‐dimensional MHD flow over a porous stretching sheet
-
10 T. Hayat and T. Javed, On analytic solution for generalized three‐dimensional MHD flow over a porous stretching sheet, Phys Lett A 370 (2007), 243–250.
-
(2007)
Phys Lett A
, vol.370
, pp. 243-250
-
-
Hayat, T.1
Javed, T.2
-
11
-
-
34250841231
-
On the MHD flow of a second grade fluid in a porous channel
-
11 T. Hayat, N. Ahmed, M. Sajid, and S. Asghar, On the MHD flow of a second grade fluid in a porous channel, Comput Math Appl 54 (2007), 407–414.
-
(2007)
Comput Math Appl
, vol.54
, pp. 407-414
-
-
Hayat, T.1
Ahmed, N.2
Sajid, M.3
Asghar, S.4
-
12
-
-
34447622123
-
Wire coating analysis using MHD Oldroyd 8‐constant fluid
-
12 M. Sajid, A. M. Siddiqui, and T. Hayat, Wire coating analysis using MHD Oldroyd 8‐constant fluid, Int J Eng Sci 45 (2007), 381–392.
-
(2007)
Int J Eng Sci
, vol.45
, pp. 381-392
-
-
Sajid, M.1
Siddiqui, A.M.2
Hayat, T.3
-
13
-
-
34248519246
-
Rotating flow of a third grade fluid in a porous space with Hall current
-
13 T. Hayat, S. B. Khan, M. Sajid, and S. Asghar, Rotating flow of a third grade fluid in a porous space with Hall current, Nonlinear Dyn 49 (2007), 83–91.
-
(2007)
Nonlinear Dyn
, vol.49
, pp. 83-91
-
-
Hayat, T.1
Khan, S.B.2
Sajid, M.3
Asghar, S.4
-
14
-
-
84889013131
-
Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method
-
14 M. M. Rashidi, G. Domairry, and S. Dinarvand, Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method, Commun Nonlinear Sci Numer Simul, in press, 2007 Oct 17, (Epub ahead of print).
-
(2007)
Commun Nonlinear Sci Numer Simul
-
-
Rashidi, M.M.1
Domairry, G.2
Dinarvand, S.3
-
15
-
-
33847224443
-
Non‐similar analytic solution for MHD flow and heat transfer in a third‐order fluid over a stretching sheet
-
15 M. Sajid, T. Hayat, and S. Asghar, Non‐similar analytic solution for MHD flow and heat transfer in a third‐order fluid over a stretching sheet, Int J Heat and Mass Transfer 50 (2007), 1723–1736.
-
(2007)
Int J Heat and Mass Transfer
, vol.50
, pp. 1723-1736
-
-
Sajid, M.1
Hayat, T.2
Asghar, S.3
-
16
-
-
33750339270
-
The application of homotopy analysis method to nonlinear equations arising in heat transfer
-
16 S. Abbasbandy, The application of homotopy analysis method to nonlinear equations arising in heat transfer, Phys Lett A 360 (2006), 109–113.
-
(2006)
Phys Lett A
, vol.360
, pp. 109-113
-
-
Abbasbandy, S.1
-
17
-
-
33750714429
-
Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet
-
17 T. Hayat and M. Sajid, Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet, Int J Heat Mass Transfer 50 (2007), 75–84.
-
(2007)
Int J Heat Mass Transfer
, vol.50
, pp. 75-84
-
-
Hayat, T.1
Sajid, M.2
-
18
-
-
33845907123
-
The application of homotopy analysis method to solve a generalized Hirota‐Satsuma coupled KdV equation
-
18 S. Abbasbandy, The application of homotopy analysis method to solve a generalized Hirota‐Satsuma coupled KdV equation, Phys Lett A 361 (2007), 478–483.
-
(2007)
Phys Lett A
, vol.361
, pp. 478-483
-
-
Abbasbandy, S.1
-
19
-
-
33846635947
-
The influence of thermal radiation on MHD flow of a second grade fluid
-
19 T. Hayat, Z. Abbas, M. Sajid, and S. Asghar, The influence of thermal radiation on MHD flow of a second grade fluid, Int J Heat Mass Transfer 50 (2007), 931–941.
-
(2007)
Int J Heat Mass Transfer
, vol.50
, pp. 931-941
-
-
Hayat, T.1
Abbas, Z.2
Sajid, M.3
Asghar, S.4
-
20
-
-
34250384767
-
Nonlinear evolution equations associated with energy‐dependent Schrödinger potentials
-
20 M. Jaulent and J. Miodek, Nonlinear evolution equations associated with energy‐dependent Schrödinger potentials, Lett Math Phys 1 (1976), 243–250.
-
(1976)
Lett Math Phys
, vol.1
, pp. 243-250
-
-
Jaulent, M.1
Miodek, J.2
-
21
-
-
33947173172
-
Nonlinear Schrödinger equations and N = 1 superconformal algebra
-
21 H. T. Ozer and S. Salihoglu, Nonlinear Schrödinger equations and N = 1 superconformal algebra, Chaos Solitons Fractals 33 (2007), 1417–1423.
-
(2007)
Chaos Solitons Fractals
, vol.33
, pp. 1417-1423
-
-
Ozer, H.T.1
Salihoglu, S.2
-
22
-
-
33947095468
-
The subsidiary elliptic‐like equation and the exact solutions of the higher‐order nonlinear Schrödinger equation
-
22 J. L. Zhang, M. L. Wang, and X. R. Li, The subsidiary elliptic‐like equation and the exact solutions of the higher‐order nonlinear Schrödinger equation, Chaos Solitons Fractals 33 (2007), 1450–1457.
-
(2007)
Chaos Solitons Fractals
, vol.33
, pp. 1450-1457
-
-
Zhang, J.L.1
Wang, M.L.2
Li, X.R.3
-
23
-
-
33847406981
-
Exact solutions for the cubic‐quintic nonlinear Schrödinger equation
-
23 J. M. Zhu and Z. Y. Ma, Exact solutions for the cubic‐quintic nonlinear Schrödinger equation, Chaos Solitons Fractals 33 (2007), 958–964.
-
(2007)
Chaos Solitons Fractals
, vol.33
, pp. 958-964
-
-
Zhu, J.M.1
Ma, Z.Y.2
-
24
-
-
0037408898
-
Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
-
24 E. Fan, Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics, Chaos Solitons Fractals 16 (2003), 819–839.
-
(2003)
Chaos Solitons Fractals
, vol.16
, pp. 819-839
-
-
Fan, E.1
-
25
-
-
33745223846
-
Decomposition to the modified Jaulent–Miodek hierarchy
-
25 J. B. Chen and X. G. Geng, Decomposition to the modified Jaulent–Miodek hierarchy, Chaos Solitons Fractals 30 (2006), 797–803.
-
(2006)
Chaos Solitons Fractals
, vol.30
, pp. 797-803
-
-
Chen, J.B.1
Geng, X.G.2
-
26
-
-
34247562366
-
The tanh‐coth and the sech methods for exact solutions of the Jaulent–Miodek equation
-
26 A.‐M. Wazwaz, The tanh‐coth and the sech methods for exact solutions of the Jaulent–Miodek equation, Phys Lett A 366 (2007), 85–90.
-
(2007)
Phys Lett A
, vol.366
, pp. 85-90
-
-
Wazwaz, A.‐M.1
-
27
-
-
34250650099
-
Application of He's variational iteration method to nonlinear Jaulent–Miodek equations and comparing it with ADM
-
27 D. D. Ganji, M. Jannatabadi, and E. Mohseni, Application of He's variational iteration method to nonlinear Jaulent–Miodek equations and comparing it with ADM, J Comput Appl Math 207 (2007), 35–45.
-
(2007)
J Comput Appl Math
, vol.207
, pp. 35-45
-
-
Ganji, D.D.1
Jannatabadi, M.2
Mohseni, E.3
-
28
-
-
30644460357
-
Homotopy perturbation method for solving boundary value problems
-
28 J. H. He, Homotopy perturbation method for solving boundary value problems, Phys Lett A 350 (2006), 87–88.
-
(2006)
Phys Lett A
, vol.350
, pp. 87-88
-
-
He, J.H.1
-
29
-
-
33645972898
-
Some asymptotic methods for strongly nonlinear equations
-
29 J. H. He, Some asymptotic methods for strongly nonlinear equations, Int J Mod Phys B 20 (2006), 1141–1199.
-
(2006)
Int J Mod Phys B
, vol.20
, pp. 1141-1199
-
-
He, J.H.1
|