Journal
articles since 2001
1.
Tan,
Y. and Liao, S.J., “Series solution of
three-dimensional unsteady laminar viscous flow due to a stretching surface in
a rotating fluid”, ASME J of Applied Mechanics
(in press).
2.
Xu, H., Liao, S.J. and Pop,
I, “Series solutions of unsteady free convection flow in the stagnation-point
region of a three-dimensional body”, Int.
J. Thermal Science, in press.
3.
Tan, Y., You, X.C., Xu, H. and Liao, S.J., “A new branch of the
temperature distribution of boundary-layer flows over an impermeable stretching plate”, Heat and Mass Transfer (in press)
4.
F. Talay Akyildiz,
Vajravelu, K. and Liao, S.J., “A New Method for Homoclinic Solutions of Ordinary Differential Equations”, Chaos, Solitons,
and Fractals (in press).
5.
Cang, J., Tan, Y., Xu, H. and Liao, S.J., “Series solutions for nonlinear Riccati differential equations with fractional order”, Chaos, Solitons
and Fractals (in press).
6.
H. Xu
and S.J. Liao, “Dual solutions of boundary layer flow over an upstream
moving plate”, Communications in Nonlinear
Science and Numerical Simulation, vol. 13, pp. 350-358, 2008.
7.
Liao, S.J.
and Tan, Y., “A general approach to obtain series
solutions of nonlinear differential equations”, Studies in Applied Mathematics, Vol. 119, pp. 297-254, 2007.
8.
Liao, S.J., “A new branch of boundary layer flows over a permeable
stretching plate”, International Journal
of Non-linear Mechanics, vol. 42, pp. 819-830, 2007. ( DOI: 10.1016/j.ijnonlinmec.2007.03.007
)
9.
Abbasbandy,
S., Tan, Y. and Liao, S.J., “Newton-Homotopy
analysis method for nonlinear equations”, Applied
Mathematics and Computation. Vol 188 (2007),
1794-1800.
10.
H. Xu, S.J. Liao and I. Pop, “Series solutions of
unsteady three-dimensional MHD flow and heat transfer in the boundary layer
over an impulsively stretching plate”, European Mechanics – B Fluid,
vol. 26 (2007), 15-27.
11.
Y. Tan, H. Xu and S.J. Liao, “Explicit series solutions of traveling
waves with a front of Fisher equation”, Chaos,
Solitons, and Fractals, Vol. 31(2007), 462-472.
12.
H. Xu and S.J. Liao, “A series
solution of the unsteady Von Kaman swirling viscous flows”, Acta Applicandae
Mathematicae, 94(3): 215-231, 2006.
13.
S.J.
Liao, “Series solutions of
unsteady boundary-layer flows over a stretching flat plate”, Studies in
Applied Mathematics, 117:239-263, 2006.
14.
S.J.
Liao and E. Magyari,
“Exponentially decaying boundary layers as limiting cases of families of
algebraically decaying ones”, ZAMP,
Volume 57, Number
5, 777 – 792, 2006.
15.
S.J.
Liao, J. Su and A.T. Chwang, “Series solutions for a nonlinear model of combined
convective and radiative cooling of a spherical body”,
Int. J. Heat and Mass Transfer, vol. 49, pp. 2437-2445, 2006.
16.
H. Xu, S.J. Liao, I. Pop, “Series solution of unsteady
boundary layer flow of a micropolar fluid near the
forward stagnation point of a plane surface”, Acta
Mechanica, 2006.
17.
S.J. Liao, “An analytic solution of unsteady boundary-layer flows
caused by an impulsively stretching plate”, Communications in Nonlinear
Science and Numerical Simulation, Vol.11, No. 3, pp. 326-339, 2006.
18.
H. Xu,
S.J. Liao, I. Pop, “Series solutions of unsteady MHD flow of a
non-Newtonian fluid near the forward stagnation point”, Magnetohydrodynamics, Vol. 42, No.
1, pp. 3-15, 2006.
19.
C. Yang and S.J. Liao, “On the explicit, purely analytic
solution of von Karman swirling viscous flow”, Communications in Nonlinear
Science and Numerical Simulation, vol. 11, No. 1, pp. 83-93, 2006.
20.
H. Xu and S.J. Liao, “Analytic solutions of magnetohydrodynamic flows of non-Newtonian fluids caused by
an impulsively stretching plate”, Journal of Non-Newtonian Fluid Mechanics,
vol. 129, pp. 46-55, 2005.
21.
S.C. Li and S. J. Liao, “an analytic approach to solve
multiple solutions of a strongly nonlinear problem”, Applied Mathematics and
Computation, vol. 169, pp. 854-865, 2005.
22.
J. Cheng, S.J.
Liao and I. Pop, Analytic series solution for unsteady mixed convection boundary
layer flow near the stagnation point on a vertical surface in a porous medium, Transport
in Porous Media, Vol. 61, pp. 365-379, 2005.
23.
S.J. Liao, “Comparison between the homotopy analysis method and homotopy
perturbation method”, Applied Mathematics and Computation, Vol. 169,
Issue 2, Pages 1186-1194, 2005.
24.
S.J. Liao, “A challenging nonlinear problem for numerical
techniques”, Journal of Computational and Applied Mathematics, Vol 181/2, pp
467-472, 2005.
25.
W.
Wu and S.J. Liao, “Solving solitary waves with discontinuity by means of
the homotopy analysis method”, Chaos, Solitons and Fractals, 26/1 pp. 177-185, 2005.
26.
S.J.
Liao, “A new branch of
solutions of boundary-layer flows over an impermeable stretched plate”, Int.
J. Heat and Mass Transfer, 48/12 pp. 2529-2539, 2005.
27.
Y.Y. Wu, S.J. Liao and X.Y. Zhao, “Some notes on general
boundary method for highly nonlinear problems”, Communications in Nonlinear
Science and Numerical Simulation, Volume 10, No. 7, pp. 725-735, 2005.
28.
Y.Y. Wu and
S.J. Liao, “Solving
high Reynolds-number viscous flows by the general BEM and domain decomposition
method”, International Journal for Numerical Methods in
Fluids, Volume 47, No. 3, pp. 185-199, 2005.
29.
S. J. Liao,
“An analytic approximate approach for free oscillations of self-excited
systems”, Int.
J. Non-Linear Mech., Vol. 39, No.2, pp. 271-280, 2004.
30.
S. J. Liao
and I. Pop, Explicit analytic solution for similarity boundary layer equations,
International
Journal of Heat and Mass Transfer, Vol. 47/1, pp. 75-85, 2004.
31.
Y.Y. Wu and S.J. LIAO, Solving the one-loop soliton
solution of the Vakhnenko equation by means of the Homotopy Analysis Method, Chaos, Solitons
and Fractals, vol. 23/5, pp. 1733-1740, 2004.
32.
S. J. Liao,
“On the homotopy analysis
method for nonlinear problems”, Applied Mathematics and Computation, vol. 147/2, pp. 499-513, 2004.
33.
S.J. Liao, “On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a
stretching sheet”, Journal of Fluid Mechanics, vol. 488, pp. 189-212, 2003.
34.
S.J. Liao, “An explicit analytic solution to the Thomas-Fermi equation”, Applied Mathematics and Computation, vol. 144, pp. 495-506, 2003.
35.
S. J. Liao,
“A new analytic algorithm of Lane-Emden type equations”, Applied Mathematics and Computation, vol. 142/No.1, pp. 1-16, 2003.
36.
S. J. Liao,
“On a generalized
37.
S.J. Liao, “An
analytic approximate technique for free oscillations of positively damped
systems with algebraically decaying amplitude”, Int. J. Non-Linear Mech., vol. 38, No. 8, pp.
1173-1183, 2003.
38.
S.J. Liao
and K. F. Cheung, “Homotopy analysis of nonlinear progressive waves in deep water”, J. Engineering Mathematics,
vol. 45, No. 2, pp. 105-116, 2003.
39.
X.Y. Zhao and S. J. Liao, “A short note on the general boundary
element method for viscous flows with high Reynolds number”, Int. J. Numerical Methods
for Fluid, Vol.
42, pp. 349-359, 2003.
40.
C. Wang, S.J. Liao and
J.M. Zhu, An explicit analytic solution for non-Darcy natural convection over
horizontal plate with surface mass flux and thermal dispersion effects, Acta Mechanica vol.
165, pp. 139-150, 2003.
41.
C. Wang, S. J. Liao and J. M. Zhu, An explicit solution for the
combined heat and mass transfer by natural convection from a vertical wall in a
non-Daray porous medium, International Journal of Heat and Mass Transfer, vol. 46/25, pp. 4813-4822, 2003.
42.
C. Wang, J. M. Zhu, S.J.
Liao and I. Pop, “On the explicit analytic solution of Cheng-Chang
equation”, International Journal of Heat and Mass Transfer, vol. 46, No.
10, pp 1855 – 1860, 2003.
43.
S.J. Liao
and A. Campo, “Analytic solutions of the temperature distribution in Blasius viscous flow problems”, Journal of Fluid Mechanics, Vol. 453, pp. 411-425, 2002.
44.
S.J. Liao, “An analytic approximation of the drag coefficient for the viscous
flow past a sphere”, International
Journal of Non-Linear Mechanics,
vol. 37, pp.1-18, 2002.
45.
S.J. Liao, “A
direct boundary element approach for unsteady non-linear heat transfer problems”,
Engineering
Analysis with Boundary Elements, vol. 26, pp. 55-59, 2002.
46.
S.J. Liao, Mashayek, F. and Guo, Z. “Numerical
simulations of particle-laden axisymmetric turbulent
flows”, Numerical
heat Transfer Part A: Applications, vol. 39 (8), 947-859, 2001.
47. S.J. Liao, “A non-iterative numerical approach for two-dimensional viscous flow problems governed by the Falker-Skan equation”, International Journal for Numerical Methods in Fluids, vol. 35, pp. 495-518, 2001.
48. S.J. Liao and Mashayek, F. “A multigrid approach for steady state laminar viscous flows”, International Journal for Numerical Methods in Fluids, vol. 37, pp. 107-123, 2001.
1.